Finding the Third Proportional to 137,613 and 279,099

Step by Step Solution

1. Step 1: Write the proportion equation
   137,613 : 279,099 = 279,099 : x
2. Step 2: Convert to fraction form
   137,613/279,099 = 279,099/x
3. Step 3: Cross multiply
   137,613x = 279,099 × 279,099
4. Step 4: Simplify right side
   137,613x = 77,896,251,801
5. Step 5: Solve for x
   x = 77,896,251,801/137,613
6. Step 6: Final answer
   x = 566,053.00