Finding the Third Proportional to 51,376 and 111,501

Step by Step Solution

1. Step 1: Write the proportion equation
   51,376 : 111,501 = 111,501 : x
2. Step 2: Convert to fraction form
   51,376/111,501 = 111,501/x
3. Step 3: Cross multiply
   51,376x = 111,501 × 111,501
4. Step 4: Simplify right side
   51,376x = 12,432,473,001
5. Step 5: Solve for x
   x = 12,432,473,001/51,376
6. Step 6: Final answer
   x = 241,989.90