Finding the Third Proportional to 111,390 and 172,362

Step by Step Solution

1. Step 1: Write the proportion equation
   111,390 : 172,362 = 172,362 : x
2. Step 2: Convert to fraction form
   111,390/172,362 = 172,362/x
3. Step 3: Cross multiply
   111,390x = 172,362 × 172,362
4. Step 4: Simplify right side
   111,390x = 29,708,659,044
5. Step 5: Solve for x
   x = 29,708,659,044/111,390
6. Step 6: Final answer
   x = 266,708.49