Finding the Third Proportional to 391,428 and 834,111

Step by Step Solution

1. Step 1: Write the proportion equation
   391,428 : 834,111 = 834,111 : x
2. Step 2: Convert to fraction form
   391,428/834,111 = 834,111/x
3. Step 3: Cross multiply
   391,428x = 834,111 × 834,111
4. Step 4: Simplify right side
   391,428x = 695,741,160,321
5. Step 5: Solve for x
   x = 695,741,160,321/391,428
6. Step 6: Final answer
   x = 1,777,443.52