Finding the Third Proportional to 111,243 and 172,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,243 : 172,264.50 = 172,264.50 : x
2. Step 2: Convert to fraction form
   111,243/172,264.50 = 172,264.50/x
3. Step 3: Cross multiply
   111,243x = 172,264.50 × 172,264.50
4. Step 4: Simplify right side
   111,243x = 29,675,057,960.25
5. Step 5: Solve for x
   x = 29,675,057,960.25/111,243
6. Step 6: Final answer
   x = 266,758.88