Finding the Third Proportional to 137,181 and 299,499

Step by Step Solution

1. Step 1: Write the proportion equation
   137,181 : 299,499 = 299,499 : x
2. Step 2: Convert to fraction form
   137,181/299,499 = 299,499/x
3. Step 3: Cross multiply
   137,181x = 299,499 × 299,499
4. Step 4: Simplify right side
   137,181x = 89,699,651,001
5. Step 5: Solve for x
   x = 89,699,651,001/137,181
6. Step 6: Final answer
   x = 653,878.10