Finding the Third Proportional to 407,658 and 864,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   407,658 : 864,643.50 = 864,643.50 : x
2. Step 2: Convert to fraction form
   407,658/864,643.50 = 864,643.50/x
3. Step 3: Cross multiply
   407,658x = 864,643.50 × 864,643.50
4. Step 4: Simplify right side
   407,658x = 747,608,382,092.25
5. Step 5: Solve for x
   x = 747,608,382,092.25/407,658
6. Step 6: Final answer
   x = 1,833,910.73