Finding the Third Proportional to 186,222.50 and 251,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,222.50 : 251,499.50 = 251,499.50 : x
2. Step 2: Convert to fraction form
   186,222.50/251,499.50 = 251,499.50/x
3. Step 3: Cross multiply
   186,222.50x = 251,499.50 × 251,499.50
4. Step 4: Simplify right side
   186,222.50x = 63,251,998,500.25
5. Step 5: Solve for x
   x = 63,251,998,500.25/186,222.50
6. Step 6: Final answer
   x = 339,658.20