Finding the Third Proportional to 52,957 and 109,585

Step by Step Solution

1. Step 1: Write the proportion equation
   52,957 : 109,585 = 109,585 : x
2. Step 2: Convert to fraction form
   52,957/109,585 = 109,585/x
3. Step 3: Cross multiply
   52,957x = 109,585 × 109,585
4. Step 4: Simplify right side
   52,957x = 12,008,872,225
5. Step 5: Solve for x
   x = 12,008,872,225/52,957
6. Step 6: Final answer
   x = 226,766.48