Finding the Third Proportional to 100,960 and 147,768

Step by Step Solution

1. Step 1: Write the proportion equation
   100,960 : 147,768 = 147,768 : x
2. Step 2: Convert to fraction form
   100,960/147,768 = 147,768/x
3. Step 3: Cross multiply
   100,960x = 147,768 × 147,768
4. Step 4: Simplify right side
   100,960x = 21,835,381,824
5. Step 5: Solve for x
   x = 21,835,381,824/100,960
6. Step 6: Final answer
   x = 216,277.55