Finding the Third Proportional to 75,357 and 116,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,357 : 116,499.50 = 116,499.50 : x
2. Step 2: Convert to fraction form
   75,357/116,499.50 = 116,499.50/x
3. Step 3: Cross multiply
   75,357x = 116,499.50 × 116,499.50
4. Step 4: Simplify right side
   75,357x = 13,572,133,500.25
5. Step 5: Solve for x
   x = 13,572,133,500.25/75,357
6. Step 6: Final answer
   x = 180,104.48