Finding the Third Proportional to 49,136 and 105,152

Step by Step Solution

1. Step 1: Write the proportion equation
   49,136 : 105,152 = 105,152 : x
2. Step 2: Convert to fraction form
   49,136/105,152 = 105,152/x
3. Step 3: Cross multiply
   49,136x = 105,152 × 105,152
4. Step 4: Simplify right side
   49,136x = 11,056,943,104
5. Step 5: Solve for x
   x = 11,056,943,104/49,136
6. Step 6: Final answer
   x = 225,027.33