Finding the Third Proportional to 137,536 and 297,520

Step by Step Solution

1. Step 1: Write the proportion equation
   137,536 : 297,520 = 297,520 : x
2. Step 2: Convert to fraction form
   137,536/297,520 = 297,520/x
3. Step 3: Cross multiply
   137,536x = 297,520 × 297,520
4. Step 4: Simplify right side
   137,536x = 88,518,150,400
5. Step 5: Solve for x
   x = 88,518,150,400/137,536
6. Step 6: Final answer
   x = 643,599.86