Finding the Third Proportional to 359,832 and 525,924

Step by Step Solution

1. Step 1: Write the proportion equation
   359,832 : 525,924 = 525,924 : x
2. Step 2: Convert to fraction form
   359,832/525,924 = 525,924/x
3. Step 3: Cross multiply
   359,832x = 525,924 × 525,924
4. Step 4: Simplify right side
   359,832x = 276,596,053,776
5. Step 5: Solve for x
   x = 276,596,053,776/359,832
6. Step 6: Final answer
   x = 768,681.09