Finding the Third Proportional to 78,518 and 161,194

Step by Step Solution

1. Step 1: Write the proportion equation
   78,518 : 161,194 = 161,194 : x
2. Step 2: Convert to fraction form
   78,518/161,194 = 161,194/x
3. Step 3: Cross multiply
   78,518x = 161,194 × 161,194
4. Step 4: Simplify right side
   78,518x = 25,983,505,636
5. Step 5: Solve for x
   x = 25,983,505,636/78,518
6. Step 6: Final answer
   x = 330,924.19