Finding the Third Proportional to 234,762 and 511,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   234,762 : 511,426.50 = 511,426.50 : x
2. Step 2: Convert to fraction form
   234,762/511,426.50 = 511,426.50/x
3. Step 3: Cross multiply
   234,762x = 511,426.50 × 511,426.50
4. Step 4: Simplify right side
   234,762x = 261,557,064,902.25
5. Step 5: Solve for x
   x = 261,557,064,902.25/234,762
6. Step 6: Final answer
   x = 1,114,137.15