Finding the Third Proportional to 111,397 and 172,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,397 : 172,573.50 = 172,573.50 : x
2. Step 2: Convert to fraction form
   111,397/172,573.50 = 172,573.50/x
3. Step 3: Cross multiply
   111,397x = 172,573.50 × 172,573.50
4. Step 4: Simplify right side
   111,397x = 29,781,612,902.25
5. Step 5: Solve for x
   x = 29,781,612,902.25/111,397
6. Step 6: Final answer
   x = 267,346.63