Finding the Third Proportional to 380,512.50 and 819,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,512.50 : 819,892.50 = 819,892.50 : x
2. Step 2: Convert to fraction form
   380,512.50/819,892.50 = 819,892.50/x
3. Step 3: Cross multiply
   380,512.50x = 819,892.50 × 819,892.50
4. Step 4: Simplify right side
   380,512.50x = 672,223,711,556.25
5. Step 5: Solve for x
   x = 672,223,711,556.25/380,512.50
6. Step 6: Final answer
   x = 1,766,627.15