Finding the Third Proportional to 49,192 and 107,145

Step by Step Solution

1. Step 1: Write the proportion equation
   49,192 : 107,145 = 107,145 : x
2. Step 2: Convert to fraction form
   49,192/107,145 = 107,145/x
3. Step 3: Cross multiply
   49,192x = 107,145 × 107,145
4. Step 4: Simplify right side
   49,192x = 11,480,051,025
5. Step 5: Solve for x
   x = 11,480,051,025/49,192
6. Step 6: Final answer
   x = 233,372.32