Finding the Third Proportional to 123,650 and 185,502

Step by Step Solution

1. Step 1: Write the proportion equation
   123,650 : 185,502 = 185,502 : x
2. Step 2: Convert to fraction form
   123,650/185,502 = 185,502/x
3. Step 3: Cross multiply
   123,650x = 185,502 × 185,502
4. Step 4: Simplify right side
   123,650x = 34,410,992,004
5. Step 5: Solve for x
   x = 34,410,992,004/123,650
6. Step 6: Final answer
   x = 278,293.51