Finding the Third Proportional to 413,599.50 and 911,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,599.50 : 911,002.50 = 911,002.50 : x
2. Step 2: Convert to fraction form
   413,599.50/911,002.50 = 911,002.50/x
3. Step 3: Cross multiply
   413,599.50x = 911,002.50 × 911,002.50
4. Step 4: Simplify right side
   413,599.50x = 829,925,555,006.25
5. Step 5: Solve for x
   x = 829,925,555,006.25/413,599.50
6. Step 6: Final answer
   x = 2,006,592.26