Finding the Third Proportional to 42,440 and 83,806

Step by Step Solution

1. Step 1: Write the proportion equation
   42,440 : 83,806 = 83,806 : x
2. Step 2: Convert to fraction form
   42,440/83,806 = 83,806/x
3. Step 3: Cross multiply
   42,440x = 83,806 × 83,806
4. Step 4: Simplify right side
   42,440x = 7,023,445,636
5. Step 5: Solve for x
   x = 7,023,445,636/42,440
6. Step 6: Final answer
   x = 165,491.18