Finding the Third Proportional to 38,320 and 83,200

Step by Step Solution

1. Step 1: Write the proportion equation
   38,320 : 83,200 = 83,200 : x
2. Step 2: Convert to fraction form
   38,320/83,200 = 83,200/x
3. Step 3: Cross multiply
   38,320x = 83,200 × 83,200
4. Step 4: Simplify right side
   38,320x = 6,922,240,000
5. Step 5: Solve for x
   x = 6,922,240,000/38,320
6. Step 6: Final answer
   x = 180,643.01