Finding the Third Proportional to 40,678.50 and 83,340

Step by Step Solution

1. Step 1: Write the proportion equation
   40,678.50 : 83,340 = 83,340 : x
2. Step 2: Convert to fraction form
   40,678.50/83,340 = 83,340/x
3. Step 3: Cross multiply
   40,678.50x = 83,340 × 83,340
4. Step 4: Simplify right side
   40,678.50x = 6,945,555,600
5. Step 5: Solve for x
   x = 6,945,555,600/40,678.50
6. Step 6: Final answer
   x = 170,742.67