Finding the Third Proportional to 42,216 and 89,200

Step by Step Solution

1. Step 1: Write the proportion equation
   42,216 : 89,200 = 89,200 : x
2. Step 2: Convert to fraction form
   42,216/89,200 = 89,200/x
3. Step 3: Cross multiply
   42,216x = 89,200 × 89,200
4. Step 4: Simplify right side
   42,216x = 7,956,640,000
5. Step 5: Solve for x
   x = 7,956,640,000/42,216
6. Step 6: Final answer
   x = 188,474.51