Finding the Third Proportional to 92,216 and 215,948

Step by Step Solution

1. Step 1: Write the proportion equation
   92,216 : 215,948 = 215,948 : x
2. Step 2: Convert to fraction form
   92,216/215,948 = 215,948/x
3. Step 3: Cross multiply
   92,216x = 215,948 × 215,948
4. Step 4: Simplify right side
   92,216x = 46,633,538,704
5. Step 5: Solve for x
   x = 46,633,538,704/92,216
6. Step 6: Final answer
   x = 505,699.00