Finding the Third Proportional to 233,572 and 510,766

Step by Step Solution

1. Step 1: Write the proportion equation
   233,572 : 510,766 = 510,766 : x
2. Step 2: Convert to fraction form
   233,572/510,766 = 510,766/x
3. Step 3: Cross multiply
   233,572x = 510,766 × 510,766
4. Step 4: Simplify right side
   233,572x = 260,881,906,756
5. Step 5: Solve for x
   x = 260,881,906,756/233,572
6. Step 6: Final answer
   x = 1,116,922.86