Finding the Third Proportional to 51,412 and 112,665

Step by Step Solution

1. Step 1: Write the proportion equation
   51,412 : 112,665 = 112,665 : x
2. Step 2: Convert to fraction form
   51,412/112,665 = 112,665/x
3. Step 3: Cross multiply
   51,412x = 112,665 × 112,665
4. Step 4: Simplify right side
   51,412x = 12,693,402,225
5. Step 5: Solve for x
   x = 12,693,402,225/51,412
6. Step 6: Final answer
   x = 246,895.71