Finding the Third Proportional to 42,446 and 83,818

Step by Step Solution

1. Step 1: Write the proportion equation
   42,446 : 83,818 = 83,818 : x
2. Step 2: Convert to fraction form
   42,446/83,818 = 83,818/x
3. Step 3: Cross multiply
   42,446x = 83,818 × 83,818
4. Step 4: Simplify right side
   42,446x = 7,025,457,124
5. Step 5: Solve for x
   x = 7,025,457,124/42,446
6. Step 6: Final answer
   x = 165,515.18