Finding the Third Proportional to 82,869 and 131,425.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,869 : 131,425.50 = 131,425.50 : x
2. Step 2: Convert to fraction form
   82,869/131,425.50 = 131,425.50/x
3. Step 3: Cross multiply
   82,869x = 131,425.50 × 131,425.50
4. Step 4: Simplify right side
   82,869x = 17,272,662,050.25
5. Step 5: Solve for x
   x = 17,272,662,050.25/82,869
6. Step 6: Final answer
   x = 208,433.34