Finding the Third Proportional to 49,776 and 109,368

Step by Step Solution

1. Step 1: Write the proportion equation
   49,776 : 109,368 = 109,368 : x
2. Step 2: Convert to fraction form
   49,776/109,368 = 109,368/x
3. Step 3: Cross multiply
   49,776x = 109,368 × 109,368
4. Step 4: Simplify right side
   49,776x = 11,961,359,424
5. Step 5: Solve for x
   x = 11,961,359,424/49,776
6. Step 6: Final answer
   x = 240,303.75