Finding the Third Proportional to 71,796 and 147,180

Step by Step Solution

1. Step 1: Write the proportion equation
   71,796 : 147,180 = 147,180 : x
2. Step 2: Convert to fraction form
   71,796/147,180 = 147,180/x
3. Step 3: Cross multiply
   71,796x = 147,180 × 147,180
4. Step 4: Simplify right side
   71,796x = 21,661,952,400
5. Step 5: Solve for x
   x = 21,661,952,400/71,796
6. Step 6: Final answer
   x = 301,715.31