Finding the Third Proportional to 72,480 and 147,006

Step by Step Solution

1. Step 1: Write the proportion equation
   72,480 : 147,006 = 147,006 : x
2. Step 2: Convert to fraction form
   72,480/147,006 = 147,006/x
3. Step 3: Cross multiply
   72,480x = 147,006 × 147,006
4. Step 4: Simplify right side
   72,480x = 21,610,764,036
5. Step 5: Solve for x
   x = 21,610,764,036/72,480
6. Step 6: Final answer
   x = 298,161.76