Finding the Third Proportional to 129,876 and 194,818.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,876 : 194,818.50 = 194,818.50 : x
2. Step 2: Convert to fraction form
   129,876/194,818.50 = 194,818.50/x
3. Step 3: Cross multiply
   129,876x = 194,818.50 × 194,818.50
4. Step 4: Simplify right side
   129,876x = 37,954,247,942.25
5. Step 5: Solve for x
   x = 37,954,247,942.25/129,876
6. Step 6: Final answer
   x = 292,234.50