Finding the Third Proportional to 802,168 and 1,742,656

Step by Step Solution

1. Step 1: Write the proportion equation
   802,168 : 1,742,656 = 1,742,656 : x
2. Step 2: Convert to fraction form
   802,168/1,742,656 = 1,742,656/x
3. Step 3: Cross multiply
   802,168x = 1,742,656 × 1,742,656
4. Step 4: Simplify right side
   802,168x = 3,036,849,934,336
5. Step 5: Solve for x
   x = 3,036,849,934,336/802,168
6. Step 6: Final answer
   x = 3,785,802.89