Finding the Third Proportional to 83,557.50 and 173,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,557.50 : 173,998.50 = 173,998.50 : x
2. Step 2: Convert to fraction form
   83,557.50/173,998.50 = 173,998.50/x
3. Step 3: Cross multiply
   83,557.50x = 173,998.50 × 173,998.50
4. Step 4: Simplify right side
   83,557.50x = 30,275,478,002.25
5. Step 5: Solve for x
   x = 30,275,478,002.25/83,557.50
6. Step 6: Final answer
   x = 362,331.07