Finding the Third Proportional to 52,066 and 112,814

Step by Step Solution

1. Step 1: Write the proportion equation
   52,066 : 112,814 = 112,814 : x
2. Step 2: Convert to fraction form
   52,066/112,814 = 112,814/x
3. Step 3: Cross multiply
   52,066x = 112,814 × 112,814
4. Step 4: Simplify right side
   52,066x = 12,726,998,596
5. Step 5: Solve for x
   x = 12,726,998,596/52,066
6. Step 6: Final answer
   x = 244,439.72