Finding the Third Proportional to 89,216 and 198,112

Step by Step Solution

1. Step 1: Write the proportion equation
   89,216 : 198,112 = 198,112 : x
2. Step 2: Convert to fraction form
   89,216/198,112 = 198,112/x
3. Step 3: Cross multiply
   89,216x = 198,112 × 198,112
4. Step 4: Simplify right side
   89,216x = 39,248,364,544
5. Step 5: Solve for x
   x = 39,248,364,544/89,216
6. Step 6: Final answer
   x = 439,925.18