Finding the Third Proportional to 101,340 and 215,802

Step by Step Solution

1. Step 1: Write the proportion equation
   101,340 : 215,802 = 215,802 : x
2. Step 2: Convert to fraction form
   101,340/215,802 = 215,802/x
3. Step 3: Cross multiply
   101,340x = 215,802 × 215,802
4. Step 4: Simplify right side
   101,340x = 46,570,503,204
5. Step 5: Solve for x
   x = 46,570,503,204/101,340
6. Step 6: Final answer
   x = 459,547.10