Finding the Third Proportional to 51,830 and 78,110.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,830 : 78,110.50 = 78,110.50 : x
2. Step 2: Convert to fraction form
   51,830/78,110.50 = 78,110.50/x
3. Step 3: Cross multiply
   51,830x = 78,110.50 × 78,110.50
4. Step 4: Simplify right side
   51,830x = 6,101,250,210.25
5. Step 5: Solve for x
   x = 6,101,250,210.25/51,830
6. Step 6: Final answer
   x = 117,716.58