Finding the Third Proportional to 76,784.50 and 164,684

Step by Step Solution

1. Step 1: Write the proportion equation
   76,784.50 : 164,684 = 164,684 : x
2. Step 2: Convert to fraction form
   76,784.50/164,684 = 164,684/x
3. Step 3: Cross multiply
   76,784.50x = 164,684 × 164,684
4. Step 4: Simplify right side
   76,784.50x = 27,120,819,856
5. Step 5: Solve for x
   x = 27,120,819,856/76,784.50
6. Step 6: Final answer
   x = 353,206.96