Finding the Third Proportional to 133,780 and 162,494

Step by Step Solution

1. Step 1: Write the proportion equation
   133,780 : 162,494 = 162,494 : x
2. Step 2: Convert to fraction form
   133,780/162,494 = 162,494/x
3. Step 3: Cross multiply
   133,780x = 162,494 × 162,494
4. Step 4: Simplify right side
   133,780x = 26,404,300,036
5. Step 5: Solve for x
   x = 26,404,300,036/133,780
6. Step 6: Final answer
   x = 197,371.06