Finding the Third Proportional to 50,294 and 109,606.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,294 : 109,606.50 = 109,606.50 : x
2. Step 2: Convert to fraction form
   50,294/109,606.50 = 109,606.50/x
3. Step 3: Cross multiply
   50,294x = 109,606.50 × 109,606.50
4. Step 4: Simplify right side
   50,294x = 12,013,584,842.25
5. Step 5: Solve for x
   x = 12,013,584,842.25/50,294
6. Step 6: Final answer
   x = 238,867.16