Finding the Third Proportional to 40,422 and 86,340

Step by Step Solution

1. Step 1: Write the proportion equation
   40,422 : 86,340 = 86,340 : x
2. Step 2: Convert to fraction form
   40,422/86,340 = 86,340/x
3. Step 3: Cross multiply
   40,422x = 86,340 × 86,340
4. Step 4: Simplify right side
   40,422x = 7,454,595,600
5. Step 5: Solve for x
   x = 7,454,595,600/40,422
6. Step 6: Final answer
   x = 184,419.27