Finding the Third Proportional to 96,876 and 130,855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,876 : 130,855.50 = 130,855.50 : x
2. Step 2: Convert to fraction form
   96,876/130,855.50 = 130,855.50/x
3. Step 3: Cross multiply
   96,876x = 130,855.50 × 130,855.50
4. Step 4: Simplify right side
   96,876x = 17,123,161,880.25
5. Step 5: Solve for x
   x = 17,123,161,880.25/96,876
6. Step 6: Final answer
   x = 176,753.39