Finding the Third Proportional to 386,444 and 830,034

Step by Step Solution

1. Step 1: Write the proportion equation
   386,444 : 830,034 = 830,034 : x
2. Step 2: Convert to fraction form
   386,444/830,034 = 830,034/x
3. Step 3: Cross multiply
   386,444x = 830,034 × 830,034
4. Step 4: Simplify right side
   386,444x = 688,956,441,156
5. Step 5: Solve for x
   x = 688,956,441,156/386,444
6. Step 6: Final answer
   x = 1,782,810.55