Finding the Third Proportional to 111,222 and 172,364

Step by Step Solution

1. Step 1: Write the proportion equation
   111,222 : 172,364 = 172,364 : x
2. Step 2: Convert to fraction form
   111,222/172,364 = 172,364/x
3. Step 3: Cross multiply
   111,222x = 172,364 × 172,364
4. Step 4: Simplify right side
   111,222x = 29,709,348,496
5. Step 5: Solve for x
   x = 29,709,348,496/111,222
6. Step 6: Final answer
   x = 267,117.55