Finding the Third Proportional to 368,139 and 565,662

Step by Step Solution

1. Step 1: Write the proportion equation
   368,139 : 565,662 = 565,662 : x
2. Step 2: Convert to fraction form
   368,139/565,662 = 565,662/x
3. Step 3: Cross multiply
   368,139x = 565,662 × 565,662
4. Step 4: Simplify right side
   368,139x = 319,973,498,244
5. Step 5: Solve for x
   x = 319,973,498,244/368,139
6. Step 6: Final answer
   x = 869,164.90