Finding the Third Proportional to 49,965 and 109,746

Step by Step Solution

1. Step 1: Write the proportion equation
   49,965 : 109,746 = 109,746 : x
2. Step 2: Convert to fraction form
   49,965/109,746 = 109,746/x
3. Step 3: Cross multiply
   49,965x = 109,746 × 109,746
4. Step 4: Simplify right side
   49,965x = 12,044,184,516
5. Step 5: Solve for x
   x = 12,044,184,516/49,965
6. Step 6: Final answer
   x = 241,052.43