Finding the Third Proportional to 234,765 and 511,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   234,765 : 511,447.50 = 511,447.50 : x
2. Step 2: Convert to fraction form
   234,765/511,447.50 = 511,447.50/x
3. Step 3: Cross multiply
   234,765x = 511,447.50 × 511,447.50
4. Step 4: Simplify right side
   234,765x = 261,578,545,256.25
5. Step 5: Solve for x
   x = 261,578,545,256.25/234,765
6. Step 6: Final answer
   x = 1,114,214.41