Finding the Third Proportional to 74,496 and 156,648

Step by Step Solution

1. Step 1: Write the proportion equation
   74,496 : 156,648 = 156,648 : x
2. Step 2: Convert to fraction form
   74,496/156,648 = 156,648/x
3. Step 3: Cross multiply
   74,496x = 156,648 × 156,648
4. Step 4: Simplify right side
   74,496x = 24,538,595,904
5. Step 5: Solve for x
   x = 24,538,595,904/74,496
6. Step 6: Final answer
   x = 329,394.81