Finding the Third Proportional to 47,388 and 109,704

Step by Step Solution

1. Step 1: Write the proportion equation
   47,388 : 109,704 = 109,704 : x
2. Step 2: Convert to fraction form
   47,388/109,704 = 109,704/x
3. Step 3: Cross multiply
   47,388x = 109,704 × 109,704
4. Step 4: Simplify right side
   47,388x = 12,034,967,616
5. Step 5: Solve for x
   x = 12,034,967,616/47,388
6. Step 6: Final answer
   x = 253,966.57