Finding the Third Proportional to 261,711 and 353,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,711 : 353,119.50 = 353,119.50 : x
2. Step 2: Convert to fraction form
   261,711/353,119.50 = 353,119.50/x
3. Step 3: Cross multiply
   261,711x = 353,119.50 × 353,119.50
4. Step 4: Simplify right side
   261,711x = 124,693,381,280.25
5. Step 5: Solve for x
   x = 124,693,381,280.25/261,711
6. Step 6: Final answer
   x = 476,454.49