Finding the Third Proportional to 49,784 and 109,468

Step by Step Solution

1. Step 1: Write the proportion equation
   49,784 : 109,468 = 109,468 : x
2. Step 2: Convert to fraction form
   49,784/109,468 = 109,468/x
3. Step 3: Cross multiply
   49,784x = 109,468 × 109,468
4. Step 4: Simplify right side
   49,784x = 11,983,243,024
5. Step 5: Solve for x
   x = 11,983,243,024/49,784
6. Step 6: Final answer
   x = 240,704.70