Finding the Third Proportional to 82,827.75 and 131,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,827.75 : 131,365.50 = 131,365.50 : x
2. Step 2: Convert to fraction form
   82,827.75/131,365.50 = 131,365.50/x
3. Step 3: Cross multiply
   82,827.75x = 131,365.50 × 131,365.50
4. Step 4: Simplify right side
   82,827.75x = 17,256,894,590.25
5. Step 5: Solve for x
   x = 17,256,894,590.25/82,827.75
6. Step 6: Final answer
   x = 208,346.77