Finding the Third Proportional to 359,827 and 528,076

Step by Step Solution

1. Step 1: Write the proportion equation
   359,827 : 528,076 = 528,076 : x
2. Step 2: Convert to fraction form
   359,827/528,076 = 528,076/x
3. Step 3: Cross multiply
   359,827x = 528,076 × 528,076
4. Step 4: Simplify right side
   359,827x = 278,864,261,776
5. Step 5: Solve for x
   x = 278,864,261,776/359,827
6. Step 6: Final answer
   x = 774,995.38