Finding the Third Proportional to 34,378 and 72,822

Step by Step Solution

1. Step 1: Write the proportion equation
   34,378 : 72,822 = 72,822 : x
2. Step 2: Convert to fraction form
   34,378/72,822 = 72,822/x
3. Step 3: Cross multiply
   34,378x = 72,822 × 72,822
4. Step 4: Simplify right side
   34,378x = 5,303,043,684
5. Step 5: Solve for x
   x = 5,303,043,684/34,378
6. Step 6: Final answer
   x = 154,256.90