Finding the Third Proportional to 51,832 and 78,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,832 : 78,113.50 = 78,113.50 : x
2. Step 2: Convert to fraction form
   51,832/78,113.50 = 78,113.50/x
3. Step 3: Cross multiply
   51,832x = 78,113.50 × 78,113.50
4. Step 4: Simplify right side
   51,832x = 6,101,718,882.25
5. Step 5: Solve for x
   x = 6,101,718,882.25/51,832
6. Step 6: Final answer
   x = 117,721.08