Finding the Third Proportional to 78,109 and 161,756

Step by Step Solution

1. Step 1: Write the proportion equation
   78,109 : 161,756 = 161,756 : x
2. Step 2: Convert to fraction form
   78,109/161,756 = 161,756/x
3. Step 3: Cross multiply
   78,109x = 161,756 × 161,756
4. Step 4: Simplify right side
   78,109x = 26,165,003,536
5. Step 5: Solve for x
   x = 26,165,003,536/78,109
6. Step 6: Final answer
   x = 334,980.65