Finding the Third Proportional to 111,345 and 172,023

Step by Step Solution

1. Step 1: Write the proportion equation
   111,345 : 172,023 = 172,023 : x
2. Step 2: Convert to fraction form
   111,345/172,023 = 172,023/x
3. Step 3: Cross multiply
   111,345x = 172,023 × 172,023
4. Step 4: Simplify right side
   111,345x = 29,591,912,529
5. Step 5: Solve for x
   x = 29,591,912,529/111,345
6. Step 6: Final answer
   x = 265,767.77