Finding the Third Proportional to 114,292.69 and 262,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,292.69 : 262,858.50 = 262,858.50 : x
2. Step 2: Convert to fraction form
   114,292.69/262,858.50 = 262,858.50/x
3. Step 3: Cross multiply
   114,292.69x = 262,858.50 × 262,858.50
4. Step 4: Simplify right side
   114,292.69x = 69,094,591,022.25
5. Step 5: Solve for x
   x = 69,094,591,022.25/114,292.69
6. Step 6: Final answer
   x = 604,540.79