Finding the Third Proportional to 107,761 and 234,404

Step by Step Solution

1. Step 1: Write the proportion equation
   107,761 : 234,404 = 234,404 : x
2. Step 2: Convert to fraction form
   107,761/234,404 = 234,404/x
3. Step 3: Cross multiply
   107,761x = 234,404 × 234,404
4. Step 4: Simplify right side
   107,761x = 54,945,235,216
5. Step 5: Solve for x
   x = 54,945,235,216/107,761
6. Step 6: Final answer
   x = 509,880.52