Finding the Third Proportional to 123,216.75 and 185,371.88

Step by Step Solution

1. Step 1: Write the proportion equation
   123,216.75 : 185,371.88 = 185,371.88 : x
2. Step 2: Convert to fraction form
   123,216.75/185,371.88 = 185,371.88/x
3. Step 3: Cross multiply
   123,216.75x = 185,371.88 × 185,371.88
4. Step 4: Simplify right side
   123,216.75x = 34,362,732,041.02
5. Step 5: Solve for x
   x = 34,362,732,041.02/123,216.75
6. Step 6: Final answer
   x = 278,880.36