Finding the Third Proportional to 123,162 and 185,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,162 : 185,623.50 = 185,623.50 : x
2. Step 2: Convert to fraction form
   123,162/185,623.50 = 185,623.50/x
3. Step 3: Cross multiply
   123,162x = 185,623.50 × 185,623.50
4. Step 4: Simplify right side
   123,162x = 34,456,083,752.25
5. Step 5: Solve for x
   x = 34,456,083,752.25/123,162
6. Step 6: Final answer
   x = 279,762.29