Finding the Third Proportional to 99,895.50 and 214,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,895.50 : 214,006.50 = 214,006.50 : x
2. Step 2: Convert to fraction form
   99,895.50/214,006.50 = 214,006.50/x
3. Step 3: Cross multiply
   99,895.50x = 214,006.50 × 214,006.50
4. Step 4: Simplify right side
   99,895.50x = 45,798,782,042.25
5. Step 5: Solve for x
   x = 45,798,782,042.25/99,895.50
6. Step 6: Final answer
   x = 458,466.92