Finding the Third Proportional to 380,518 and 819,903.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,518 : 819,903.50 = 819,903.50 : x
2. Step 2: Convert to fraction form
   380,518/819,903.50 = 819,903.50/x
3. Step 3: Cross multiply
   380,518x = 819,903.50 × 819,903.50
4. Step 4: Simplify right side
   380,518x = 672,241,749,312.25
5. Step 5: Solve for x
   x = 672,241,749,312.25/380,518
6. Step 6: Final answer
   x = 1,766,649.01