Finding the Third Proportional to 35,723 and 78,250

Step by Step Solution

1. Step 1: Write the proportion equation
   35,723 : 78,250 = 78,250 : x
2. Step 2: Convert to fraction form
   35,723/78,250 = 78,250/x
3. Step 3: Cross multiply
   35,723x = 78,250 × 78,250
4. Step 4: Simplify right side
   35,723x = 6,123,062,500
5. Step 5: Solve for x
   x = 6,123,062,500/35,723
6. Step 6: Final answer
   x = 171,403.93