Finding the Third Proportional to 200,085.50 and 305,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,085.50 : 305,209.50 = 305,209.50 : x
2. Step 2: Convert to fraction form
   200,085.50/305,209.50 = 305,209.50/x
3. Step 3: Cross multiply
   200,085.50x = 305,209.50 × 305,209.50
4. Step 4: Simplify right side
   200,085.50x = 93,152,838,890.25
5. Step 5: Solve for x
   x = 93,152,838,890.25/200,085.50
6. Step 6: Final answer
   x = 465,565.17