Finding the Third Proportional to 802,143 and 1,742,607

Step by Step Solution

1. Step 1: Write the proportion equation
   802,143 : 1,742,607 = 1,742,607 : x
2. Step 2: Convert to fraction form
   802,143/1,742,607 = 1,742,607/x
3. Step 3: Cross multiply
   802,143x = 1,742,607 × 1,742,607
4. Step 4: Simplify right side
   802,143x = 3,036,679,156,449
5. Step 5: Solve for x
   x = 3,036,679,156,449/802,143
6. Step 6: Final answer
   x = 3,785,707.98