Finding the Third Proportional to 111,211 and 172,346.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,211 : 172,346.50 = 172,346.50 : x
2. Step 2: Convert to fraction form
   111,211/172,346.50 = 172,346.50/x
3. Step 3: Cross multiply
   111,211x = 172,346.50 × 172,346.50
4. Step 4: Simplify right side
   111,211x = 29,703,316,062.25
5. Step 5: Solve for x
   x = 29,703,316,062.25/111,211
6. Step 6: Final answer
   x = 267,089.73