Finding the Third Proportional to 41,294.81 and 87,419.25

Step by Step Solution

1. Step 1: Write the proportion equation
   41,294.81 : 87,419.25 = 87,419.25 : x
2. Step 2: Convert to fraction form
   41,294.81/87,419.25 = 87,419.25/x
3. Step 3: Cross multiply
   41,294.81x = 87,419.25 × 87,419.25
4. Step 4: Simplify right side
   41,294.81x = 7,642,125,270.56
5. Step 5: Solve for x
   x = 7,642,125,270.56/41,294.81
6. Step 6: Final answer
   x = 185,062.60