Finding the Third Proportional to 51,906 and 80,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,906 : 80,194.50 = 80,194.50 : x
2. Step 2: Convert to fraction form
   51,906/80,194.50 = 80,194.50/x
3. Step 3: Cross multiply
   51,906x = 80,194.50 × 80,194.50
4. Step 4: Simplify right side
   51,906x = 6,431,157,830.25
5. Step 5: Solve for x
   x = 6,431,157,830.25/51,906
6. Step 6: Final answer
   x = 123,900.09