Finding the Third Proportional to 65,838 and 155,322

Step by Step Solution

1. Step 1: Write the proportion equation
   65,838 : 155,322 = 155,322 : x
2. Step 2: Convert to fraction form
   65,838/155,322 = 155,322/x
3. Step 3: Cross multiply
   65,838x = 155,322 × 155,322
4. Step 4: Simplify right side
   65,838x = 24,124,923,684
5. Step 5: Solve for x
   x = 24,124,923,684/65,838
6. Step 6: Final answer
   x = 366,428.56