Finding the Third Proportional to 535,764 and 1,178,664

Step by Step Solution

1. Step 1: Write the proportion equation
   535,764 : 1,178,664 = 1,178,664 : x
2. Step 2: Convert to fraction form
   535,764/1,178,664 = 1,178,664/x
3. Step 3: Cross multiply
   535,764x = 1,178,664 × 1,178,664
4. Step 4: Simplify right side
   535,764x = 1,389,248,824,896
5. Step 5: Solve for x
   x = 1,389,248,824,896/535,764
6. Step 6: Final answer
   x = 2,593,023.84