Finding the Third Proportional to 107,766 and 234,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,766 : 234,184.50 = 234,184.50 : x
2. Step 2: Convert to fraction form
   107,766/234,184.50 = 234,184.50/x
3. Step 3: Cross multiply
   107,766x = 234,184.50 × 234,184.50
4. Step 4: Simplify right side
   107,766x = 54,842,380,040.25
5. Step 5: Solve for x
   x = 54,842,380,040.25/107,766
6. Step 6: Final answer
   x = 508,902.44