Finding the Third Proportional to 269,915,510,370 and 562,171,768,128

Step by Step Solution

1. Step 1: Write the proportion equation
   269,915,510,370 : 562,171,768,128 = 562,171,768,128 : x
2. Step 2: Convert to fraction form
   269,915,510,370/562,171,768,128 = 562,171,768,128/x
3. Step 3: Cross multiply
   269,915,510,370x = 562,171,768,128 × 562,171,768,128
4. Step 4: Simplify right side
   269,915,510,370x = 316,037,096,880,161,786,167,296
5. Step 5: Solve for x
   x = 316,037,096,880,161,786,167,296/269,915,510,370
6. Step 6: Final answer
   x = 1,170,874,161,499.42