Finding the Third Proportional to 40,093 and 86,602

Step by Step Solution

1. Step 1: Write the proportion equation
   40,093 : 86,602 = 86,602 : x
2. Step 2: Convert to fraction form
   40,093/86,602 = 86,602/x
3. Step 3: Cross multiply
   40,093x = 86,602 × 86,602
4. Step 4: Simplify right side
   40,093x = 7,499,906,404
5. Step 5: Solve for x
   x = 7,499,906,404/40,093
6. Step 6: Final answer
   x = 187,062.74