Finding the Third Proportional to 40,140 and 83,466

Step by Step Solution

1. Step 1: Write the proportion equation
   40,140 : 83,466 = 83,466 : x
2. Step 2: Convert to fraction form
   40,140/83,466 = 83,466/x
3. Step 3: Cross multiply
   40,140x = 83,466 × 83,466
4. Step 4: Simplify right side
   40,140x = 6,966,573,156
5. Step 5: Solve for x
   x = 6,966,573,156/40,140
6. Step 6: Final answer
   x = 173,556.88