Finding the Third Proportional to 387,536 and 830,304

Step by Step Solution

1. Step 1: Write the proportion equation
   387,536 : 830,304 = 830,304 : x
2. Step 2: Convert to fraction form
   387,536/830,304 = 830,304/x
3. Step 3: Cross multiply
   387,536x = 830,304 × 830,304
4. Step 4: Simplify right side
   387,536x = 689,404,732,416
5. Step 5: Solve for x
   x = 689,404,732,416/387,536
6. Step 6: Final answer
   x = 1,778,943.72