Finding the Third Proportional to 48,176 and 105,064

Step by Step Solution

1. Step 1: Write the proportion equation
   48,176 : 105,064 = 105,064 : x
2. Step 2: Convert to fraction form
   48,176/105,064 = 105,064/x
3. Step 3: Cross multiply
   48,176x = 105,064 × 105,064
4. Step 4: Simplify right side
   48,176x = 11,038,444,096
5. Step 5: Solve for x
   x = 11,038,444,096/48,176
6. Step 6: Final answer
   x = 229,127.45