Finding the Third Proportional to 386,433 and 830,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,433 : 830,011.50 = 830,011.50 : x
2. Step 2: Convert to fraction form
   386,433/830,011.50 = 830,011.50/x
3. Step 3: Cross multiply
   386,433x = 830,011.50 × 830,011.50
4. Step 4: Simplify right side
   386,433x = 688,919,090,132.25
5. Step 5: Solve for x
   x = 688,919,090,132.25/386,433
6. Step 6: Final answer
   x = 1,782,764.65