Finding the Third Proportional to 234,096 and 353,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   234,096 : 353,209.50 = 353,209.50 : x
2. Step 2: Convert to fraction form
   234,096/353,209.50 = 353,209.50/x
3. Step 3: Cross multiply
   234,096x = 353,209.50 × 353,209.50
4. Step 4: Simplify right side
   234,096x = 124,756,950,890.25
5. Step 5: Solve for x
   x = 124,756,950,890.25/234,096
6. Step 6: Final answer
   x = 532,930.72