Finding the Third Proportional to 123,771 and 185,929.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,771 : 185,929.50 = 185,929.50 : x
2. Step 2: Convert to fraction form
   123,771/185,929.50 = 185,929.50/x
3. Step 3: Cross multiply
   123,771x = 185,929.50 × 185,929.50
4. Step 4: Simplify right side
   123,771x = 34,569,778,970.25
5. Step 5: Solve for x
   x = 34,569,778,970.25/123,771
6. Step 6: Final answer
   x = 279,304.35