Finding the Third Proportional to 100,722 and 214,188

Step by Step Solution

1. Step 1: Write the proportion equation
   100,722 : 214,188 = 214,188 : x
2. Step 2: Convert to fraction form
   100,722/214,188 = 214,188/x
3. Step 3: Cross multiply
   100,722x = 214,188 × 214,188
4. Step 4: Simplify right side
   100,722x = 45,876,499,344
5. Step 5: Solve for x
   x = 45,876,499,344/100,722
6. Step 6: Final answer
   x = 455,476.45