Finding the Third Proportional to 85,711.61 and 185,724.14

Step by Step Solution

1. Step 1: Write the proportion equation
   85,711.61 : 185,724.14 = 185,724.14 : x
2. Step 2: Convert to fraction form
   85,711.61/185,724.14 = 185,724.14/x
3. Step 3: Cross multiply
   85,711.61x = 185,724.14 × 185,724.14
4. Step 4: Simplify right side
   85,711.61x = 34,493,456,410.89
5. Step 5: Solve for x
   x = 34,493,456,410.89/85,711.61
6. Step 6: Final answer
   x = 402,436.24