Finding the Third Proportional to 99,818 and 214,240

Step by Step Solution

1. Step 1: Write the proportion equation
   99,818 : 214,240 = 214,240 : x
2. Step 2: Convert to fraction form
   99,818/214,240 = 214,240/x
3. Step 3: Cross multiply
   99,818x = 214,240 × 214,240
4. Step 4: Simplify right side
   99,818x = 45,898,777,600
5. Step 5: Solve for x
   x = 45,898,777,600/99,818
6. Step 6: Final answer
   x = 459,824.66