Finding the Third Proportional to 387,776 and 820,264

Step by Step Solution

1. Step 1: Write the proportion equation
   387,776 : 820,264 = 820,264 : x
2. Step 2: Convert to fraction form
   387,776/820,264 = 820,264/x
3. Step 3: Cross multiply
   387,776x = 820,264 × 820,264
4. Step 4: Simplify right side
   387,776x = 672,833,029,696
5. Step 5: Solve for x
   x = 672,833,029,696/387,776
6. Step 6: Final answer
   x = 1,735,107.46