Finding the Third Proportional to 72,058 and 147,680

Step by Step Solution

1. Step 1: Write the proportion equation
   72,058 : 147,680 = 147,680 : x
2. Step 2: Convert to fraction form
   72,058/147,680 = 147,680/x
3. Step 3: Cross multiply
   72,058x = 147,680 × 147,680
4. Step 4: Simplify right side
   72,058x = 21,809,382,400
5. Step 5: Solve for x
   x = 21,809,382,400/72,058
6. Step 6: Final answer
   x = 302,664.28