Finding the Third Proportional to 40,706 and 83,428

Step by Step Solution

1. Step 1: Write the proportion equation
   40,706 : 83,428 = 83,428 : x
2. Step 2: Convert to fraction form
   40,706/83,428 = 83,428/x
3. Step 3: Cross multiply
   40,706x = 83,428 × 83,428
4. Step 4: Simplify right side
   40,706x = 6,960,231,184
5. Step 5: Solve for x
   x = 6,960,231,184/40,706
6. Step 6: Final answer
   x = 170,987.84