Finding the Third Proportional to 72,778 and 159,410

Step by Step Solution

1. Step 1: Write the proportion equation
   72,778 : 159,410 = 159,410 : x
2. Step 2: Convert to fraction form
   72,778/159,410 = 159,410/x
3. Step 3: Cross multiply
   72,778x = 159,410 × 159,410
4. Step 4: Simplify right side
   72,778x = 25,411,548,100
5. Step 5: Solve for x
   x = 25,411,548,100/72,778
6. Step 6: Final answer
   x = 349,165.24