Finding the Third Proportional to 85,025 and 185,359

Step by Step Solution

1. Step 1: Write the proportion equation
   85,025 : 185,359 = 185,359 : x
2. Step 2: Convert to fraction form
   85,025/185,359 = 185,359/x
3. Step 3: Cross multiply
   85,025x = 185,359 × 185,359
4. Step 4: Simplify right side
   85,025x = 34,357,958,881
5. Step 5: Solve for x
   x = 34,357,958,881/85,025
6. Step 6: Final answer
   x = 404,092.43