Finding the Third Proportional to 123,822 and 185,735

Step by Step Solution

1. Step 1: Write the proportion equation
   123,822 : 185,735 = 185,735 : x
2. Step 2: Convert to fraction form
   123,822/185,735 = 185,735/x
3. Step 3: Cross multiply
   123,822x = 185,735 × 185,735
4. Step 4: Simplify right side
   123,822x = 34,497,490,225
5. Step 5: Solve for x
   x = 34,497,490,225/123,822
6. Step 6: Final answer
   x = 278,605.50