Finding the Third Proportional to 137,496 and 298,321

Step by Step Solution

1. Step 1: Write the proportion equation
   137,496 : 298,321 = 298,321 : x
2. Step 2: Convert to fraction form
   137,496/298,321 = 298,321/x
3. Step 3: Cross multiply
   137,496x = 298,321 × 298,321
4. Step 4: Simplify right side
   137,496x = 88,995,419,041
5. Step 5: Solve for x
   x = 88,995,419,041/137,496
6. Step 6: Final answer
   x = 647,258.24