Finding the Third Proportional to 49,862.25 and 105,354

Step by Step Solution

1. Step 1: Write the proportion equation
   49,862.25 : 105,354 = 105,354 : x
2. Step 2: Convert to fraction form
   49,862.25/105,354 = 105,354/x
3. Step 3: Cross multiply
   49,862.25x = 105,354 × 105,354
4. Step 4: Simplify right side
   49,862.25x = 11,099,465,316
5. Step 5: Solve for x
   x = 11,099,465,316/49,862.25
6. Step 6: Final answer
   x = 222,602.58