Finding the Third Proportional to 171,147 and 381,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171,147 : 381,646.50 = 381,646.50 : x
2. Step 2: Convert to fraction form
   171,147/381,646.50 = 381,646.50/x
3. Step 3: Cross multiply
   171,147x = 381,646.50 × 381,646.50
4. Step 4: Simplify right side
   171,147x = 145,654,050,962.25
5. Step 5: Solve for x
   x = 145,654,050,962.25/171,147
6. Step 6: Final answer
   x = 851,046.47