Finding the Third Proportional to 50,402 and 109,642

Step by Step Solution

1. Step 1: Write the proportion equation
   50,402 : 109,642 = 109,642 : x
2. Step 2: Convert to fraction form
   50,402/109,642 = 109,642/x
3. Step 3: Cross multiply
   50,402x = 109,642 × 109,642
4. Step 4: Simplify right side
   50,402x = 12,021,368,164
5. Step 5: Solve for x
   x = 12,021,368,164/50,402
6. Step 6: Final answer
   x = 238,509.74