Finding the Third Proportional to 78,410 and 164,110

Step by Step Solution

1. Step 1: Write the proportion equation
   78,410 : 164,110 = 164,110 : x
2. Step 2: Convert to fraction form
   78,410/164,110 = 164,110/x
3. Step 3: Cross multiply
   78,410x = 164,110 × 164,110
4. Step 4: Simplify right side
   78,410x = 26,932,092,100
5. Step 5: Solve for x
   x = 26,932,092,100/78,410
6. Step 6: Final answer
   x = 343,477.77