Finding the Third Proportional to 74,546 and 111,518

Step by Step Solution

1. Step 1: Write the proportion equation
   74,546 : 111,518 = 111,518 : x
2. Step 2: Convert to fraction form
   74,546/111,518 = 111,518/x
3. Step 3: Cross multiply
   74,546x = 111,518 × 111,518
4. Step 4: Simplify right side
   74,546x = 12,436,264,324
5. Step 5: Solve for x
   x = 12,436,264,324/74,546
6. Step 6: Final answer
   x = 166,826.72