Finding the Third Proportional to 53,784 and 109,944

Step by Step Solution

1. Step 1: Write the proportion equation
   53,784 : 109,944 = 109,944 : x
2. Step 2: Convert to fraction form
   53,784/109,944 = 109,944/x
3. Step 3: Cross multiply
   53,784x = 109,944 × 109,944
4. Step 4: Simplify right side
   53,784x = 12,087,683,136
5. Step 5: Solve for x
   x = 12,087,683,136/53,784
6. Step 6: Final answer
   x = 224,744.96