Finding the Third Proportional to 386,442 and 830,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,442 : 830,029.50 = 830,029.50 : x
2. Step 2: Convert to fraction form
   386,442/830,029.50 = 830,029.50/x
3. Step 3: Cross multiply
   386,442x = 830,029.50 × 830,029.50
4. Step 4: Simplify right side
   386,442x = 688,948,970,870.25
5. Step 5: Solve for x
   x = 688,948,970,870.25/386,442
6. Step 6: Final answer
   x = 1,782,800.45