Finding the Third Proportional to 40,142 and 83,470

Step by Step Solution

1. Step 1: Write the proportion equation
   40,142 : 83,470 = 83,470 : x
2. Step 2: Convert to fraction form
   40,142/83,470 = 83,470/x
3. Step 3: Cross multiply
   40,142x = 83,470 × 83,470
4. Step 4: Simplify right side
   40,142x = 6,967,240,900
5. Step 5: Solve for x
   x = 6,967,240,900/40,142
6. Step 6: Final answer
   x = 173,564.87