Finding the Third Proportional to 107,490 and 234,096

Step by Step Solution

1. Step 1: Write the proportion equation
   107,490 : 234,096 = 234,096 : x
2. Step 2: Convert to fraction form
   107,490/234,096 = 234,096/x
3. Step 3: Cross multiply
   107,490x = 234,096 × 234,096
4. Step 4: Simplify right side
   107,490x = 54,800,937,216
5. Step 5: Solve for x
   x = 54,800,937,216/107,490
6. Step 6: Final answer
   x = 509,823.59