Finding the Third Proportional to 288,205.50 and 460,416

Step by Step Solution

1. Step 1: Write the proportion equation
   288,205.50 : 460,416 = 460,416 : x
2. Step 2: Convert to fraction form
   288,205.50/460,416 = 460,416/x
3. Step 3: Cross multiply
   288,205.50x = 460,416 × 460,416
4. Step 4: Simplify right side
   288,205.50x = 211,982,893,056
5. Step 5: Solve for x
   x = 211,982,893,056/288,205.50
6. Step 6: Final answer
   x = 735,526.88