Finding the Third Proportional to 85,032 and 185,374

Step by Step Solution

1. Step 1: Write the proportion equation
   85,032 : 185,374 = 185,374 : x
2. Step 2: Convert to fraction form
   85,032/185,374 = 185,374/x
3. Step 3: Cross multiply
   85,032x = 185,374 × 185,374
4. Step 4: Simplify right side
   85,032x = 34,363,519,876
5. Step 5: Solve for x
   x = 34,363,519,876/85,032
6. Step 6: Final answer
   x = 404,124.56