Finding the Third Proportional to 83,259.56 and 175,221.56

Step by Step Solution

1. Step 1: Write the proportion equation
   83,259.56 : 175,221.56 = 175,221.56 : x
2. Step 2: Convert to fraction form
   83,259.56/175,221.56 = 175,221.56/x
3. Step 3: Cross multiply
   83,259.56x = 175,221.56 × 175,221.56
4. Step 4: Simplify right side
   83,259.56x = 30,702,595,964.94
5. Step 5: Solve for x
   x = 30,702,595,964.94/83,259.56
6. Step 6: Final answer
   x = 368,757.59