Finding the Third Proportional to 101,344 and 215,810

Step by Step Solution

1. Step 1: Write the proportion equation
   101,344 : 215,810 = 215,810 : x
2. Step 2: Convert to fraction form
   101,344/215,810 = 215,810/x
3. Step 3: Cross multiply
   101,344x = 215,810 × 215,810
4. Step 4: Simplify right side
   101,344x = 46,573,956,100
5. Step 5: Solve for x
   x = 46,573,956,100/101,344
6. Step 6: Final answer
   x = 459,563.03