Finding the Third Proportional to 82,012.50 and 107,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,012.50 : 107,689.50 = 107,689.50 : x
2. Step 2: Convert to fraction form
   82,012.50/107,689.50 = 107,689.50/x
3. Step 3: Cross multiply
   82,012.50x = 107,689.50 × 107,689.50
4. Step 4: Simplify right side
   82,012.50x = 11,597,028,410.25
5. Step 5: Solve for x
   x = 11,597,028,410.25/82,012.50
6. Step 6: Final answer
   x = 141,405.62