Finding the Third Proportional to 72,960 and 112,677

Step by Step Solution

1. Step 1: Write the proportion equation
   72,960 : 112,677 = 112,677 : x
2. Step 2: Convert to fraction form
   72,960/112,677 = 112,677/x
3. Step 3: Cross multiply
   72,960x = 112,677 × 112,677
4. Step 4: Simplify right side
   72,960x = 12,696,106,329
5. Step 5: Solve for x
   x = 12,696,106,329/72,960
6. Step 6: Final answer
   x = 174,014.62