Finding the Third Proportional to 123,029 and 192,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,029 : 192,744.50 = 192,744.50 : x
2. Step 2: Convert to fraction form
   123,029/192,744.50 = 192,744.50/x
3. Step 3: Cross multiply
   123,029x = 192,744.50 × 192,744.50
4. Step 4: Simplify right side
   123,029x = 37,150,442,280.25
5. Step 5: Solve for x
   x = 37,150,442,280.25/123,029
6. Step 6: Final answer
   x = 301,964.92