Finding the Third Proportional to 40,142 and 85,819

Step by Step Solution

1. Step 1: Write the proportion equation
   40,142 : 85,819 = 85,819 : x
2. Step 2: Convert to fraction form
   40,142/85,819 = 85,819/x
3. Step 3: Cross multiply
   40,142x = 85,819 × 85,819
4. Step 4: Simplify right side
   40,142x = 7,364,900,761
5. Step 5: Solve for x
   x = 7,364,900,761/40,142
6. Step 6: Final answer
   x = 183,471.20