Finding the Third Proportional to 406,778.25 and 847,224

Step by Step Solution

1. Step 1: Write the proportion equation
   406,778.25 : 847,224 = 847,224 : x
2. Step 2: Convert to fraction form
   406,778.25/847,224 = 847,224/x
3. Step 3: Cross multiply
   406,778.25x = 847,224 × 847,224
4. Step 4: Simplify right side
   406,778.25x = 717,788,506,176
5. Step 5: Solve for x
   x = 717,788,506,176/406,778.25
6. Step 6: Final answer
   x = 1,764,569.53