Finding the Third Proportional to 83,227.50 and 130,419.28

Step by Step Solution

1. Step 1: Write the proportion equation
   83,227.50 : 130,419.28 = 130,419.28 : x
2. Step 2: Convert to fraction form
   83,227.50/130,419.28 = 130,419.28/x
3. Step 3: Cross multiply
   83,227.50x = 130,419.28 × 130,419.28
4. Step 4: Simplify right side
   83,227.50x = 17,009,188,921.77
5. Step 5: Solve for x
   x = 17,009,188,921.77/83,227.50
6. Step 6: Final answer
   x = 204,369.82