Finding the Third Proportional to 90,142.50 and 130,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,142.50 : 130,562.50 = 130,562.50 : x
2. Step 2: Convert to fraction form
   90,142.50/130,562.50 = 130,562.50/x
3. Step 3: Cross multiply
   90,142.50x = 130,562.50 × 130,562.50
4. Step 4: Simplify right side
   90,142.50x = 17,046,566,406.25
5. Step 5: Solve for x
   x = 17,046,566,406.25/90,142.50
6. Step 6: Final answer
   x = 189,106.87