Finding the Third Proportional to 76,486 and 164,040.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,486 : 164,040.50 = 164,040.50 : x
2. Step 2: Convert to fraction form
   76,486/164,040.50 = 164,040.50/x
3. Step 3: Cross multiply
   76,486x = 164,040.50 × 164,040.50
4. Step 4: Simplify right side
   76,486x = 26,909,285,640.25
5. Step 5: Solve for x
   x = 26,909,285,640.25/76,486
6. Step 6: Final answer
   x = 351,819.75