Finding the Third Proportional to 82,164.50 and 172,630.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,164.50 : 172,630.50 = 172,630.50 : x
2. Step 2: Convert to fraction form
   82,164.50/172,630.50 = 172,630.50/x
3. Step 3: Cross multiply
   82,164.50x = 172,630.50 × 172,630.50
4. Step 4: Simplify right side
   82,164.50x = 29,801,289,530.25
5. Step 5: Solve for x
   x = 29,801,289,530.25/82,164.50
6. Step 6: Final answer
   x = 362,702.74