Finding the Third Proportional to 162,780 and 338,034

Step by Step Solution

1. Step 1: Write the proportion equation
   162,780 : 338,034 = 338,034 : x
2. Step 2: Convert to fraction form
   162,780/338,034 = 338,034/x
3. Step 3: Cross multiply
   162,780x = 338,034 × 338,034
4. Step 4: Simplify right side
   162,780x = 114,266,985,156
5. Step 5: Solve for x
   x = 114,266,985,156/162,780
6. Step 6: Final answer
   x = 701,971.90