Finding the Third Proportional to 82,875 and 131,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,875 : 131,437.50 = 131,437.50 : x
2. Step 2: Convert to fraction form
   82,875/131,437.50 = 131,437.50/x
3. Step 3: Cross multiply
   82,875x = 131,437.50 × 131,437.50
4. Step 4: Simplify right side
   82,875x = 17,275,816,406.25
5. Step 5: Solve for x
   x = 17,275,816,406.25/82,875
6. Step 6: Final answer
   x = 208,456.31