Finding the Third Proportional to 82,495.13 and 158,429.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,495.13 : 158,429.25 = 158,429.25 : x
2. Step 2: Convert to fraction form
   82,495.13/158,429.25 = 158,429.25/x
3. Step 3: Cross multiply
   82,495.13x = 158,429.25 × 158,429.25
4. Step 4: Simplify right side
   82,495.13x = 25,099,827,255.56
5. Step 5: Solve for x
   x = 25,099,827,255.56/82,495.13
6. Step 6: Final answer
   x = 304,258.31