Finding the Third Proportional to 114,213 and 263,230.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,213 : 263,230.50 = 263,230.50 : x
2. Step 2: Convert to fraction form
   114,213/263,230.50 = 263,230.50/x
3. Step 3: Cross multiply
   114,213x = 263,230.50 × 263,230.50
4. Step 4: Simplify right side
   114,213x = 69,290,296,130.25
5. Step 5: Solve for x
   x = 69,290,296,130.25/114,213
6. Step 6: Final answer
   x = 606,676.09