Finding the Third Proportional to 233,662 and 510,566

Step by Step Solution

1. Step 1: Write the proportion equation
   233,662 : 510,566 = 510,566 : x
2. Step 2: Convert to fraction form
   233,662/510,566 = 510,566/x
3. Step 3: Cross multiply
   233,662x = 510,566 × 510,566
4. Step 4: Simplify right side
   233,662x = 260,677,640,356
5. Step 5: Solve for x
   x = 260,677,640,356/233,662
6. Step 6: Final answer
   x = 1,115,618.46