Finding the Third Proportional to 85,092 and 181,362

Step by Step Solution

1. Step 1: Write the proportion equation
   85,092 : 181,362 = 181,362 : x
2. Step 2: Convert to fraction form
   85,092/181,362 = 181,362/x
3. Step 3: Cross multiply
   85,092x = 181,362 × 181,362
4. Step 4: Simplify right side
   85,092x = 32,892,175,044
5. Step 5: Solve for x
   x = 32,892,175,044/85,092
6. Step 6: Final answer
   x = 386,548.38