Finding the Third Proportional to 46,656 and 72,360.84

Step by Step Solution

1. Step 1: Write the proportion equation
   46,656 : 72,360.84 = 72,360.84 : x
2. Step 2: Convert to fraction form
   46,656/72,360.84 = 72,360.84/x
3. Step 3: Cross multiply
   46,656x = 72,360.84 × 72,360.84
4. Step 4: Simplify right side
   46,656x = 5,236,091,708.21
5. Step 5: Solve for x
   x = 5,236,091,708.21/46,656
6. Step 6: Final answer
   x = 112,227.62