Finding the Third Proportional to 113,496 and 171,822

Step by Step Solution

1. Step 1: Write the proportion equation
   113,496 : 171,822 = 171,822 : x
2. Step 2: Convert to fraction form
   113,496/171,822 = 171,822/x
3. Step 3: Cross multiply
   113,496x = 171,822 × 171,822
4. Step 4: Simplify right side
   113,496x = 29,522,799,684
5. Step 5: Solve for x
   x = 29,522,799,684/113,496
6. Step 6: Final answer
   x = 260,121.94