Finding the Third Proportional to 123,630 and 269,908.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,630 : 269,908.50 = 269,908.50 : x
2. Step 2: Convert to fraction form
   123,630/269,908.50 = 269,908.50/x
3. Step 3: Cross multiply
   123,630x = 269,908.50 × 269,908.50
4. Step 4: Simplify right side
   123,630x = 72,850,598,372.25
5. Step 5: Solve for x
   x = 72,850,598,372.25/123,630
6. Step 6: Final answer
   x = 589,263.11