Finding the Third Proportional to 111,388 and 172,359

Step by Step Solution

1. Step 1: Write the proportion equation
   111,388 : 172,359 = 172,359 : x
2. Step 2: Convert to fraction form
   111,388/172,359 = 172,359/x
3. Step 3: Cross multiply
   111,388x = 172,359 × 172,359
4. Step 4: Simplify right side
   111,388x = 29,707,624,881
5. Step 5: Solve for x
   x = 29,707,624,881/111,388
6. Step 6: Final answer
   x = 266,704.00