Finding the Third Proportional to 111,577.50 and 167,609.25

Step by Step Solution

1. Step 1: Write the proportion equation
   111,577.50 : 167,609.25 = 167,609.25 : x
2. Step 2: Convert to fraction form
   111,577.50/167,609.25 = 167,609.25/x
3. Step 3: Cross multiply
   111,577.50x = 167,609.25 × 167,609.25
4. Step 4: Simplify right side
   111,577.50x = 28,092,860,685.56
5. Step 5: Solve for x
   x = 28,092,860,685.56/111,577.50
6. Step 6: Final answer
   x = 251,778.90