Finding the Third Proportional to 106,215.75 and 172,548

Step by Step Solution

1. Step 1: Write the proportion equation
   106,215.75 : 172,548 = 172,548 : x
2. Step 2: Convert to fraction form
   106,215.75/172,548 = 172,548/x
3. Step 3: Cross multiply
   106,215.75x = 172,548 × 172,548
4. Step 4: Simplify right side
   106,215.75x = 29,772,812,304
5. Step 5: Solve for x
   x = 29,772,812,304/106,215.75
6. Step 6: Final answer
   x = 280,305.06