Finding the Third Proportional to 52,766 and 112,453

Step by Step Solution

1. Step 1: Write the proportion equation
   52,766 : 112,453 = 112,453 : x
2. Step 2: Convert to fraction form
   52,766/112,453 = 112,453/x
3. Step 3: Cross multiply
   52,766x = 112,453 × 112,453
4. Step 4: Simplify right side
   52,766x = 12,645,677,209
5. Step 5: Solve for x
   x = 12,645,677,209/52,766
6. Step 6: Final answer
   x = 239,655.79