Finding the Third Proportional to 40,122 and 85,799.25

Step by Step Solution

1. Step 1: Write the proportion equation
   40,122 : 85,799.25 = 85,799.25 : x
2. Step 2: Convert to fraction form
   40,122/85,799.25 = 85,799.25/x
3. Step 3: Cross multiply
   40,122x = 85,799.25 × 85,799.25
4. Step 4: Simplify right side
   40,122x = 7,361,511,300.56
5. Step 5: Solve for x
   x = 7,361,511,300.56/40,122
6. Step 6: Final answer
   x = 183,478.17