Finding the Third Proportional to 50,431 and 109,737

Step by Step Solution

1. Step 1: Write the proportion equation
   50,431 : 109,737 = 109,737 : x
2. Step 2: Convert to fraction form
   50,431/109,737 = 109,737/x
3. Step 3: Cross multiply
   50,431x = 109,737 × 109,737
4. Step 4: Simplify right side
   50,431x = 12,042,209,169
5. Step 5: Solve for x
   x = 12,042,209,169/50,431
6. Step 6: Final answer
   x = 238,785.85