Finding the Third Proportional to 71,790 and 147,162

Step by Step Solution

1. Step 1: Write the proportion equation
   71,790 : 147,162 = 147,162 : x
2. Step 2: Convert to fraction form
   71,790/147,162 = 147,162/x
3. Step 3: Cross multiply
   71,790x = 147,162 × 147,162
4. Step 4: Simplify right side
   71,790x = 21,656,654,244
5. Step 5: Solve for x
   x = 21,656,654,244/71,790
6. Step 6: Final answer
   x = 301,666.73