Finding the Third Proportional to 99,222 and 217,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,222 : 217,072.50 = 217,072.50 : x
2. Step 2: Convert to fraction form
   99,222/217,072.50 = 217,072.50/x
3. Step 3: Cross multiply
   99,222x = 217,072.50 × 217,072.50
4. Step 4: Simplify right side
   99,222x = 47,120,470,256.25
5. Step 5: Solve for x
   x = 47,120,470,256.25/99,222
6. Step 6: Final answer
   x = 474,899.42