Finding the Third Proportional to 49,822 and 109,490

Step by Step Solution

1. Step 1: Write the proportion equation
   49,822 : 109,490 = 109,490 : x
2. Step 2: Convert to fraction form
   49,822/109,490 = 109,490/x
3. Step 3: Cross multiply
   49,822x = 109,490 × 109,490
4. Step 4: Simplify right side
   49,822x = 11,988,060,100
5. Step 5: Solve for x
   x = 11,988,060,100/49,822
6. Step 6: Final answer
   x = 240,617.80