Finding the Third Proportional to 97,723 and 214,150

Step by Step Solution

1. Step 1: Write the proportion equation
   97,723 : 214,150 = 214,150 : x
2. Step 2: Convert to fraction form
   97,723/214,150 = 214,150/x
3. Step 3: Cross multiply
   97,723x = 214,150 × 214,150
4. Step 4: Simplify right side
   97,723x = 45,860,222,500
5. Step 5: Solve for x
   x = 45,860,222,500/97,723
6. Step 6: Final answer
   x = 469,287.91