Finding the Third Proportional to 111,116 and 172,317

Step by Step Solution

1. Step 1: Write the proportion equation
   111,116 : 172,317 = 172,317 : x
2. Step 2: Convert to fraction form
   111,116/172,317 = 172,317/x
3. Step 3: Cross multiply
   111,116x = 172,317 × 172,317
4. Step 4: Simplify right side
   111,116x = 29,693,148,489
5. Step 5: Solve for x
   x = 29,693,148,489/111,116
6. Step 6: Final answer
   x = 267,226.58