Finding the Third Proportional to 63,092 and 137,384

Step by Step Solution

1. Step 1: Write the proportion equation
   63,092 : 137,384 = 137,384 : x
2. Step 2: Convert to fraction form
   63,092/137,384 = 137,384/x
3. Step 3: Cross multiply
   63,092x = 137,384 × 137,384
4. Step 4: Simplify right side
   63,092x = 18,874,363,456
5. Step 5: Solve for x
   x = 18,874,363,456/63,092
6. Step 6: Final answer
   x = 299,156.21