Finding the Third Proportional to 92,164 and 215,818

Step by Step Solution

1. Step 1: Write the proportion equation
   92,164 : 215,818 = 215,818 : x
2. Step 2: Convert to fraction form
   92,164/215,818 = 215,818/x
3. Step 3: Cross multiply
   92,164x = 215,818 × 215,818
4. Step 4: Simplify right side
   92,164x = 46,577,409,124
5. Step 5: Solve for x
   x = 46,577,409,124/92,164
6. Step 6: Final answer
   x = 505,375.30