Finding the Third Proportional to 102,335 and 215,274

Step by Step Solution

1. Step 1: Write the proportion equation
   102,335 : 215,274 = 215,274 : x
2. Step 2: Convert to fraction form
   102,335/215,274 = 215,274/x
3. Step 3: Cross multiply
   102,335x = 215,274 × 215,274
4. Step 4: Simplify right side
   102,335x = 46,342,895,076
5. Step 5: Solve for x
   x = 46,342,895,076/102,335
6. Step 6: Final answer
   x = 452,854.79