Finding the Third Proportional to 76,682 and 164,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,682 : 164,025.50 = 164,025.50 : x
2. Step 2: Convert to fraction form
   76,682/164,025.50 = 164,025.50/x
3. Step 3: Cross multiply
   76,682x = 164,025.50 × 164,025.50
4. Step 4: Simplify right side
   76,682x = 26,904,364,650.25
5. Step 5: Solve for x
   x = 26,904,364,650.25/76,682
6. Step 6: Final answer
   x = 350,856.32