Finding the Third Proportional to 38,832.75 and 83,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,832.75 : 83,200.50 = 83,200.50 : x
2. Step 2: Convert to fraction form
   38,832.75/83,200.50 = 83,200.50/x
3. Step 3: Cross multiply
   38,832.75x = 83,200.50 × 83,200.50
4. Step 4: Simplify right side
   38,832.75x = 6,922,323,200.25
5. Step 5: Solve for x
   x = 6,922,323,200.25/38,832.75
6. Step 6: Final answer
   x = 178,259.93