Finding the Third Proportional to 137,458 and 297,380

Step by Step Solution

1. Step 1: Write the proportion equation
   137,458 : 297,380 = 297,380 : x
2. Step 2: Convert to fraction form
   137,458/297,380 = 297,380/x
3. Step 3: Cross multiply
   137,458x = 297,380 × 297,380
4. Step 4: Simplify right side
   137,458x = 88,434,864,400
5. Step 5: Solve for x
   x = 88,434,864,400/137,458
6. Step 6: Final answer
   x = 643,359.17