Finding the Third Proportional to 288,227.50 and 460,448.50

Step by Step Solution

1. Step 1: Write the proportion equation
   288,227.50 : 460,448.50 = 460,448.50 : x
2. Step 2: Convert to fraction form
   288,227.50/460,448.50 = 460,448.50/x
3. Step 3: Cross multiply
   288,227.50x = 460,448.50 × 460,448.50
4. Step 4: Simplify right side
   288,227.50x = 212,012,821,152.25
5. Step 5: Solve for x
   x = 212,012,821,152.25/288,227.50
6. Step 6: Final answer
   x = 735,574.58