Finding the Third Proportional to 123,222 and 185,709

Step by Step Solution

1. Step 1: Write the proportion equation
   123,222 : 185,709 = 185,709 : x
2. Step 2: Convert to fraction form
   123,222/185,709 = 185,709/x
3. Step 3: Cross multiply
   123,222x = 185,709 × 185,709
4. Step 4: Simplify right side
   123,222x = 34,487,832,681
5. Step 5: Solve for x
   x = 34,487,832,681/123,222
6. Step 6: Final answer
   x = 279,883.73