Finding the Third Proportional to 52,802 and 109,957

Step by Step Solution

1. Step 1: Write the proportion equation
   52,802 : 109,957 = 109,957 : x
2. Step 2: Convert to fraction form
   52,802/109,957 = 109,957/x
3. Step 3: Cross multiply
   52,802x = 109,957 × 109,957
4. Step 4: Simplify right side
   52,802x = 12,090,541,849
5. Step 5: Solve for x
   x = 12,090,541,849/52,802
6. Step 6: Final answer
   x = 228,978.86