Finding the Third Proportional to 370,827 and 794,142

Step by Step Solution

1. Step 1: Write the proportion equation
   370,827 : 794,142 = 794,142 : x
2. Step 2: Convert to fraction form
   370,827/794,142 = 794,142/x
3. Step 3: Cross multiply
   370,827x = 794,142 × 794,142
4. Step 4: Simplify right side
   370,827x = 630,661,516,164
5. Step 5: Solve for x
   x = 630,661,516,164/370,827
6. Step 6: Final answer
   x = 1,700,689.31