Finding the Third Proportional to 113,910 and 172,566

Step by Step Solution

1. Step 1: Write the proportion equation
   113,910 : 172,566 = 172,566 : x
2. Step 2: Convert to fraction form
   113,910/172,566 = 172,566/x
3. Step 3: Cross multiply
   113,910x = 172,566 × 172,566
4. Step 4: Simplify right side
   113,910x = 29,779,024,356
5. Step 5: Solve for x
   x = 29,779,024,356/113,910
6. Step 6: Final answer
   x = 261,425.90