Finding the Third Proportional to 125,926 and 272,150

Step by Step Solution

1. Step 1: Write the proportion equation
   125,926 : 272,150 = 272,150 : x
2. Step 2: Convert to fraction form
   125,926/272,150 = 272,150/x
3. Step 3: Cross multiply
   125,926x = 272,150 × 272,150
4. Step 4: Simplify right side
   125,926x = 74,065,622,500
5. Step 5: Solve for x
   x = 74,065,622,500/125,926
6. Step 6: Final answer
   x = 588,167.83