Finding the Third Proportional to 52,692 and 116,472

Step by Step Solution

1. Step 1: Write the proportion equation
   52,692 : 116,472 = 116,472 : x
2. Step 2: Convert to fraction form
   52,692/116,472 = 116,472/x
3. Step 3: Cross multiply
   52,692x = 116,472 × 116,472
4. Step 4: Simplify right side
   52,692x = 13,565,726,784
5. Step 5: Solve for x
   x = 13,565,726,784/52,692
6. Step 6: Final answer
   x = 257,453.25