Finding the Third Proportional to 46,932 and 72,778

Step by Step Solution

1. Step 1: Write the proportion equation
   46,932 : 72,778 = 72,778 : x
2. Step 2: Convert to fraction form
   46,932/72,778 = 72,778/x
3. Step 3: Cross multiply
   46,932x = 72,778 × 72,778
4. Step 4: Simplify right side
   46,932x = 5,296,637,284
5. Step 5: Solve for x
   x = 5,296,637,284/46,932
6. Step 6: Final answer
   x = 112,857.69