Finding the Third Proportional to 72,996 and 111,465

Step by Step Solution

1. Step 1: Write the proportion equation
   72,996 : 111,465 = 111,465 : x
2. Step 2: Convert to fraction form
   72,996/111,465 = 111,465/x
3. Step 3: Cross multiply
   72,996x = 111,465 × 111,465
4. Step 4: Simplify right side
   72,996x = 12,424,446,225
5. Step 5: Solve for x
   x = 12,424,446,225/72,996
6. Step 6: Final answer
   x = 170,207.22