Finding the Third Proportional to 171,948 and 364,776

Step by Step Solution

1. Step 1: Write the proportion equation
   171,948 : 364,776 = 364,776 : x
2. Step 2: Convert to fraction form
   171,948/364,776 = 364,776/x
3. Step 3: Cross multiply
   171,948x = 364,776 × 364,776
4. Step 4: Simplify right side
   171,948x = 133,061,530,176
5. Step 5: Solve for x
   x = 133,061,530,176/171,948
6. Step 6: Final answer
   x = 773,847.50