Finding the Third Proportional to 35,876 and 78,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,876 : 78,309.50 = 78,309.50 : x
2. Step 2: Convert to fraction form
   35,876/78,309.50 = 78,309.50/x
3. Step 3: Cross multiply
   35,876x = 78,309.50 × 78,309.50
4. Step 4: Simplify right side
   35,876x = 6,132,377,790.25
5. Step 5: Solve for x
   x = 6,132,377,790.25/35,876
6. Step 6: Final answer
   x = 170,932.60