Finding the Third Proportional to 48,519 and 106,089.38

Step by Step Solution

1. Step 1: Write the proportion equation
   48,519 : 106,089.38 = 106,089.38 : x
2. Step 2: Convert to fraction form
   48,519/106,089.38 = 106,089.38/x
3. Step 3: Cross multiply
   48,519x = 106,089.38 × 106,089.38
4. Step 4: Simplify right side
   48,519x = 11,254,955,487.89
5. Step 5: Solve for x
   x = 11,254,955,487.89/48,519
6. Step 6: Final answer
   x = 231,970.06