Finding the Third Proportional to 30,147 and 61,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,147 : 61,114.50 = 61,114.50 : x
2. Step 2: Convert to fraction form
   30,147/61,114.50 = 61,114.50/x
3. Step 3: Cross multiply
   30,147x = 61,114.50 × 61,114.50
4. Step 4: Simplify right side
   30,147x = 3,734,982,110.25
5. Step 5: Solve for x
   x = 3,734,982,110.25/30,147
6. Step 6: Final answer
   x = 123,892.33