Finding the Third Proportional to 72,688 and 148,320

Step by Step Solution

1. Step 1: Write the proportion equation
   72,688 : 148,320 = 148,320 : x
2. Step 2: Convert to fraction form
   72,688/148,320 = 148,320/x
3. Step 3: Cross multiply
   72,688x = 148,320 × 148,320
4. Step 4: Simplify right side
   72,688x = 21,998,822,400
5. Step 5: Solve for x
   x = 21,998,822,400/72,688
6. Step 6: Final answer
   x = 302,647.24