Finding the Third Proportional to 142,850 and 272,738

Step by Step Solution

1. Step 1: Write the proportion equation
   142,850 : 272,738 = 272,738 : x
2. Step 2: Convert to fraction form
   142,850/272,738 = 272,738/x
3. Step 3: Cross multiply
   142,850x = 272,738 × 272,738
4. Step 4: Simplify right side
   142,850x = 74,386,016,644
5. Step 5: Solve for x
   x = 74,386,016,644/142,850
6. Step 6: Final answer
   x = 520,728.15