Finding the Third Proportional to 123,772.50 and 185,932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,772.50 : 185,932.50 = 185,932.50 : x
2. Step 2: Convert to fraction form
   123,772.50/185,932.50 = 185,932.50/x
3. Step 3: Cross multiply
   123,772.50x = 185,932.50 × 185,932.50
4. Step 4: Simplify right side
   123,772.50x = 34,570,894,556.25
5. Step 5: Solve for x
   x = 34,570,894,556.25/123,772.50
6. Step 6: Final answer
   x = 279,309.98