Finding the Third Proportional to 42,802 and 103,114

Step by Step Solution

1. Step 1: Write the proportion equation
   42,802 : 103,114 = 103,114 : x
2. Step 2: Convert to fraction form
   42,802/103,114 = 103,114/x
3. Step 3: Cross multiply
   42,802x = 103,114 × 103,114
4. Step 4: Simplify right side
   42,802x = 10,632,496,996
5. Step 5: Solve for x
   x = 10,632,496,996/42,802
6. Step 6: Final answer
   x = 248,411.22