Finding the Third Proportional to 99,228 and 217,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,228 : 217,084.50 = 217,084.50 : x
2. Step 2: Convert to fraction form
   99,228/217,084.50 = 217,084.50/x
3. Step 3: Cross multiply
   99,228x = 217,084.50 × 217,084.50
4. Step 4: Simplify right side
   99,228x = 47,125,680,140.25
5. Step 5: Solve for x
   x = 47,125,680,140.25/99,228
6. Step 6: Final answer
   x = 474,923.21