Finding the Third Proportional to 47,346 and 109,617

Step by Step Solution

1. Step 1: Write the proportion equation
   47,346 : 109,617 = 109,617 : x
2. Step 2: Convert to fraction form
   47,346/109,617 = 109,617/x
3. Step 3: Cross multiply
   47,346x = 109,617 × 109,617
4. Step 4: Simplify right side
   47,346x = 12,015,886,689
5. Step 5: Solve for x
   x = 12,015,886,689/47,346
6. Step 6: Final answer
   x = 253,788.85