Finding the Third Proportional to 233,383.50 and 511,947

Step by Step Solution

1. Step 1: Write the proportion equation
   233,383.50 : 511,947 = 511,947 : x
2. Step 2: Convert to fraction form
   233,383.50/511,947 = 511,947/x
3. Step 3: Cross multiply
   233,383.50x = 511,947 × 511,947
4. Step 4: Simplify right side
   233,383.50x = 262,089,730,809
5. Step 5: Solve for x
   x = 262,089,730,809/233,383.50
6. Step 6: Final answer
   x = 1,123,000.26