Finding the Third Proportional to 233,570 and 510,762

Step by Step Solution

1. Step 1: Write the proportion equation
   233,570 : 510,762 = 510,762 : x
2. Step 2: Convert to fraction form
   233,570/510,762 = 510,762/x
3. Step 3: Cross multiply
   233,570x = 510,762 × 510,762
4. Step 4: Simplify right side
   233,570x = 260,877,820,644
5. Step 5: Solve for x
   x = 260,877,820,644/233,570
6. Step 6: Final answer
   x = 1,116,914.93