Finding the Third Proportional to 127,637 and 272,650

Step by Step Solution

1. Step 1: Write the proportion equation
   127,637 : 272,650 = 272,650 : x
2. Step 2: Convert to fraction form
   127,637/272,650 = 272,650/x
3. Step 3: Cross multiply
   127,637x = 272,650 × 272,650
4. Step 4: Simplify right side
   127,637x = 74,338,022,500
5. Step 5: Solve for x
   x = 74,338,022,500/127,637
6. Step 6: Final answer
   x = 582,417.50