Finding the Third Proportional to 158,301.75 and 338,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   158,301.75 : 338,746.50 = 338,746.50 : x
2. Step 2: Convert to fraction form
   158,301.75/338,746.50 = 338,746.50/x
3. Step 3: Cross multiply
   158,301.75x = 338,746.50 × 338,746.50
4. Step 4: Simplify right side
   158,301.75x = 114,749,191,262.25
5. Step 5: Solve for x
   x = 114,749,191,262.25/158,301.75
6. Step 6: Final answer
   x = 724,876.33