Finding the Third Proportional to 75,825.50 and 116,900.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,825.50 : 116,900.50 = 116,900.50 : x
2. Step 2: Convert to fraction form
   75,825.50/116,900.50 = 116,900.50/x
3. Step 3: Cross multiply
   75,825.50x = 116,900.50 × 116,900.50
4. Step 4: Simplify right side
   75,825.50x = 13,665,726,900.25
5. Step 5: Solve for x
   x = 13,665,726,900.25/75,825.50
6. Step 6: Final answer
   x = 180,226.00