Finding the Third Proportional to 74,422 and 175,648

Step by Step Solution

1. Step 1: Write the proportion equation
   74,422 : 175,648 = 175,648 : x
2. Step 2: Convert to fraction form
   74,422/175,648 = 175,648/x
3. Step 3: Cross multiply
   74,422x = 175,648 × 175,648
4. Step 4: Simplify right side
   74,422x = 30,852,219,904
5. Step 5: Solve for x
   x = 30,852,219,904/74,422
6. Step 6: Final answer
   x = 414,557.79