Finding the Third Proportional to 83,561.25 and 172,656.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,561.25 : 172,656.75 = 172,656.75 : x
2. Step 2: Convert to fraction form
   83,561.25/172,656.75 = 172,656.75/x
3. Step 3: Cross multiply
   83,561.25x = 172,656.75 × 172,656.75
4. Step 4: Simplify right side
   83,561.25x = 29,810,353,320.56
5. Step 5: Solve for x
   x = 29,810,353,320.56/83,561.25
6. Step 6: Final answer
   x = 356,748.53