Finding the Third Proportional to 114,211 and 263,225.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,211 : 263,225.50 = 263,225.50 : x
2. Step 2: Convert to fraction form
   114,211/263,225.50 = 263,225.50/x
3. Step 3: Cross multiply
   114,211x = 263,225.50 × 263,225.50
4. Step 4: Simplify right side
   114,211x = 69,287,663,850.25
5. Step 5: Solve for x
   x = 69,287,663,850.25/114,211
6. Step 6: Final answer
   x = 606,663.67