Finding the Third Proportional to 82,164 and 168,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,164 : 168,221.50 = 168,221.50 : x
2. Step 2: Convert to fraction form
   82,164/168,221.50 = 168,221.50/x
3. Step 3: Cross multiply
   82,164x = 168,221.50 × 168,221.50
4. Step 4: Simplify right side
   82,164x = 28,298,473,062.25
5. Step 5: Solve for x
   x = 28,298,473,062.25/82,164
6. Step 6: Final answer
   x = 344,414.50