Finding the Third Proportional to 387,772 and 820,254

Step by Step Solution

1. Step 1: Write the proportion equation
   387,772 : 820,254 = 820,254 : x
2. Step 2: Convert to fraction form
   387,772/820,254 = 820,254/x
3. Step 3: Cross multiply
   387,772x = 820,254 × 820,254
4. Step 4: Simplify right side
   387,772x = 672,816,624,516
5. Step 5: Solve for x
   x = 672,816,624,516/387,772
6. Step 6: Final answer
   x = 1,735,083.05