Finding the Third Proportional to 137,466 and 297,072

Step by Step Solution

1. Step 1: Write the proportion equation
   137,466 : 297,072 = 297,072 : x
2. Step 2: Convert to fraction form
   137,466/297,072 = 297,072/x
3. Step 3: Cross multiply
   137,466x = 297,072 × 297,072
4. Step 4: Simplify right side
   137,466x = 88,251,773,184
5. Step 5: Solve for x
   x = 88,251,773,184/137,466
6. Step 6: Final answer
   x = 641,989.82