Finding the Third Proportional to 49,362 and 105,294

Step by Step Solution

1. Step 1: Write the proportion equation
   49,362 : 105,294 = 105,294 : x
2. Step 2: Convert to fraction form
   49,362/105,294 = 105,294/x
3. Step 3: Cross multiply
   49,362x = 105,294 × 105,294
4. Step 4: Simplify right side
   49,362x = 11,086,826,436
5. Step 5: Solve for x
   x = 11,086,826,436/49,362
6. Step 6: Final answer
   x = 224,602.46