Finding the Third Proportional to 72,264 and 113,510

Step by Step Solution

1. Step 1: Write the proportion equation
   72,264 : 113,510 = 113,510 : x
2. Step 2: Convert to fraction form
   72,264/113,510 = 113,510/x
3. Step 3: Cross multiply
   72,264x = 113,510 × 113,510
4. Step 4: Simplify right side
   72,264x = 12,884,520,100
5. Step 5: Solve for x
   x = 12,884,520,100/72,264
6. Step 6: Final answer
   x = 178,297.91