Finding the Third Proportional to 99,696 and 214,008

Step by Step Solution

1. Step 1: Write the proportion equation
   99,696 : 214,008 = 214,008 : x
2. Step 2: Convert to fraction form
   99,696/214,008 = 214,008/x
3. Step 3: Cross multiply
   99,696x = 214,008 × 214,008
4. Step 4: Simplify right side
   99,696x = 45,799,424,064
5. Step 5: Solve for x
   x = 45,799,424,064/99,696
6. Step 6: Final answer
   x = 459,390.79