Finding the Third Proportional to 380,068 and 802,856

Step by Step Solution

1. Step 1: Write the proportion equation
   380,068 : 802,856 = 802,856 : x
2. Step 2: Convert to fraction form
   380,068/802,856 = 802,856/x
3. Step 3: Cross multiply
   380,068x = 802,856 × 802,856
4. Step 4: Simplify right side
   380,068x = 644,577,756,736
5. Step 5: Solve for x
   x = 644,577,756,736/380,068
6. Step 6: Final answer
   x = 1,695,953.77