Finding the Third Proportional to 49,140 and 105,285

Step by Step Solution

1. Step 1: Write the proportion equation
   49,140 : 105,285 = 105,285 : x
2. Step 2: Convert to fraction form
   49,140/105,285 = 105,285/x
3. Step 3: Cross multiply
   49,140x = 105,285 × 105,285
4. Step 4: Simplify right side
   49,140x = 11,084,931,225
5. Step 5: Solve for x
   x = 11,084,931,225/49,140
6. Step 6: Final answer
   x = 225,578.58