Finding the Third Proportional to 49,298 and 105,985

Step by Step Solution

1. Step 1: Write the proportion equation
   49,298 : 105,985 = 105,985 : x
2. Step 2: Convert to fraction form
   49,298/105,985 = 105,985/x
3. Step 3: Cross multiply
   49,298x = 105,985 × 105,985
4. Step 4: Simplify right side
   49,298x = 11,232,820,225
5. Step 5: Solve for x
   x = 11,232,820,225/49,298
6. Step 6: Final answer
   x = 227,855.50