Finding the Third Proportional to 107,800 and 234,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,800 : 234,475.50 = 234,475.50 : x
2. Step 2: Convert to fraction form
   107,800/234,475.50 = 234,475.50/x
3. Step 3: Cross multiply
   107,800x = 234,475.50 × 234,475.50
4. Step 4: Simplify right side
   107,800x = 54,978,760,100.25
5. Step 5: Solve for x
   x = 54,978,760,100.25/107,800
6. Step 6: Final answer
   x = 510,007.05