Finding the Third Proportional to 72,120 and 147,696

Step by Step Solution

1. Step 1: Write the proportion equation
   72,120 : 147,696 = 147,696 : x
2. Step 2: Convert to fraction form
   72,120/147,696 = 147,696/x
3. Step 3: Cross multiply
   72,120x = 147,696 × 147,696
4. Step 4: Simplify right side
   72,120x = 21,814,108,416
5. Step 5: Solve for x
   x = 21,814,108,416/72,120
6. Step 6: Final answer
   x = 302,469.61