Finding the Third Proportional to 99,279 and 214,109

Step by Step Solution

1. Step 1: Write the proportion equation
   99,279 : 214,109 = 214,109 : x
2. Step 2: Convert to fraction form
   99,279/214,109 = 214,109/x
3. Step 3: Cross multiply
   99,279x = 214,109 × 214,109
4. Step 4: Simplify right side
   99,279x = 45,842,663,881
5. Step 5: Solve for x
   x = 45,842,663,881/99,279
6. Step 6: Final answer
   x = 461,755.90