Finding the Third Proportional to 113,822 and 172,298

Step by Step Solution

1. Step 1: Write the proportion equation
   113,822 : 172,298 = 172,298 : x
2. Step 2: Convert to fraction form
   113,822/172,298 = 172,298/x
3. Step 3: Cross multiply
   113,822x = 172,298 × 172,298
4. Step 4: Simplify right side
   113,822x = 29,686,600,804
5. Step 5: Solve for x
   x = 29,686,600,804/113,822
6. Step 6: Final answer
   x = 260,816.02