Finding the Third Proportional to 76,709 and 164,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,709 : 164,078.50 = 164,078.50 : x
2. Step 2: Convert to fraction form
   76,709/164,078.50 = 164,078.50/x
3. Step 3: Cross multiply
   76,709x = 164,078.50 × 164,078.50
4. Step 4: Simplify right side
   76,709x = 26,921,754,162.25
5. Step 5: Solve for x
   x = 26,921,754,162.25/76,709
6. Step 6: Final answer
   x = 350,959.52