Finding the Third Proportional to 375,981 and 782,944.50

Step by Step Solution

1. Step 1: Write the proportion equation
   375,981 : 782,944.50 = 782,944.50 : x
2. Step 2: Convert to fraction form
   375,981/782,944.50 = 782,944.50/x
3. Step 3: Cross multiply
   375,981x = 782,944.50 × 782,944.50
4. Step 4: Simplify right side
   375,981x = 613,002,090,080.25
5. Step 5: Solve for x
   x = 613,002,090,080.25/375,981
6. Step 6: Final answer
   x = 1,630,407.10