Finding the Third Proportional to 51,598.50 and 78,876

Step by Step Solution

1. Step 1: Write the proportion equation
   51,598.50 : 78,876 = 78,876 : x
2. Step 2: Convert to fraction form
   51,598.50/78,876 = 78,876/x
3. Step 3: Cross multiply
   51,598.50x = 78,876 × 78,876
4. Step 4: Simplify right side
   51,598.50x = 6,221,423,376
5. Step 5: Solve for x
   x = 6,221,423,376/51,598.50
6. Step 6: Final answer
   x = 120,573.73