Finding the Third Proportional to 414,562 and 892,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,562 : 892,547.50 = 892,547.50 : x
2. Step 2: Convert to fraction form
   414,562/892,547.50 = 892,547.50/x
3. Step 3: Cross multiply
   414,562x = 892,547.50 × 892,547.50
4. Step 4: Simplify right side
   414,562x = 796,641,039,756.25
5. Step 5: Solve for x
   x = 796,641,039,756.25/414,562
6. Step 6: Final answer
   x = 1,921,645.11