Finding the Third Proportional to 75,022.50 and 116,128

Step by Step Solution

1. Step 1: Write the proportion equation
   75,022.50 : 116,128 = 116,128 : x
2. Step 2: Convert to fraction form
   75,022.50/116,128 = 116,128/x
3. Step 3: Cross multiply
   75,022.50x = 116,128 × 116,128
4. Step 4: Simplify right side
   75,022.50x = 13,485,712,384
5. Step 5: Solve for x
   x = 13,485,712,384/75,022.50
6. Step 6: Final answer
   x = 179,755.57