Finding the Third Proportional to 99,627 and 214,996

Step by Step Solution

1. Step 1: Write the proportion equation
   99,627 : 214,996 = 214,996 : x
2. Step 2: Convert to fraction form
   99,627/214,996 = 214,996/x
3. Step 3: Cross multiply
   99,627x = 214,996 × 214,996
4. Step 4: Simplify right side
   99,627x = 46,223,280,016
5. Step 5: Solve for x
   x = 46,223,280,016/99,627
6. Step 6: Final answer
   x = 463,963.38