Finding the Third Proportional to 47,374 and 109,684

Step by Step Solution

1. Step 1: Write the proportion equation
   47,374 : 109,684 = 109,684 : x
2. Step 2: Convert to fraction form
   47,374/109,684 = 109,684/x
3. Step 3: Cross multiply
   47,374x = 109,684 × 109,684
4. Step 4: Simplify right side
   47,374x = 12,030,579,856
5. Step 5: Solve for x
   x = 12,030,579,856/47,374
6. Step 6: Final answer
   x = 253,949.00