Finding the Third Proportional to 137,460 and 297,384

Step by Step Solution

1. Step 1: Write the proportion equation
   137,460 : 297,384 = 297,384 : x
2. Step 2: Convert to fraction form
   137,460/297,384 = 297,384/x
3. Step 3: Cross multiply
   137,460x = 297,384 × 297,384
4. Step 4: Simplify right side
   137,460x = 88,437,243,456
5. Step 5: Solve for x
   x = 88,437,243,456/137,460
6. Step 6: Final answer
   x = 643,367.11