Finding the Third Proportional to 78,476 and 161,123

Step by Step Solution

1. Step 1: Write the proportion equation
   78,476 : 161,123 = 161,123 : x
2. Step 2: Convert to fraction form
   78,476/161,123 = 161,123/x
3. Step 3: Cross multiply
   78,476x = 161,123 × 161,123
4. Step 4: Simplify right side
   78,476x = 25,960,621,129
5. Step 5: Solve for x
   x = 25,960,621,129/78,476
6. Step 6: Final answer
   x = 330,809.69