Finding the Third Proportional to 111,363 and 172,702.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,363 : 172,702.50 = 172,702.50 : x
2. Step 2: Convert to fraction form
   111,363/172,702.50 = 172,702.50/x
3. Step 3: Cross multiply
   111,363x = 172,702.50 × 172,702.50
4. Step 4: Simplify right side
   111,363x = 29,826,153,506.25
5. Step 5: Solve for x
   x = 29,826,153,506.25/111,363
6. Step 6: Final answer
   x = 267,828.21