Finding the Third Proportional to 78,411 and 164,112

Step by Step Solution

1. Step 1: Write the proportion equation
   78,411 : 164,112 = 164,112 : x
2. Step 2: Convert to fraction form
   78,411/164,112 = 164,112/x
3. Step 3: Cross multiply
   78,411x = 164,112 × 164,112
4. Step 4: Simplify right side
   78,411x = 26,932,748,544
5. Step 5: Solve for x
   x = 26,932,748,544/78,411
6. Step 6: Final answer
   x = 343,481.76