Finding the Third Proportional to 75,120 and 116,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,120 : 116,275.50 = 116,275.50 : x
2. Step 2: Convert to fraction form
   75,120/116,275.50 = 116,275.50/x
3. Step 3: Cross multiply
   75,120x = 116,275.50 × 116,275.50
4. Step 4: Simplify right side
   75,120x = 13,519,991,900.25
5. Step 5: Solve for x
   x = 13,519,991,900.25/75,120
6. Step 6: Final answer
   x = 179,978.59