Finding the Third Proportional to 40,222 and 85,786

Step by Step Solution

1. Step 1: Write the proportion equation
   40,222 : 85,786 = 85,786 : x
2. Step 2: Convert to fraction form
   40,222/85,786 = 85,786/x
3. Step 3: Cross multiply
   40,222x = 85,786 × 85,786
4. Step 4: Simplify right side
   40,222x = 7,359,237,796
5. Step 5: Solve for x
   x = 7,359,237,796/40,222
6. Step 6: Final answer
   x = 182,965.49