Finding the Third Proportional to 166,598 and 362,776

Step by Step Solution

1. Step 1: Write the proportion equation
   166,598 : 362,776 = 362,776 : x
2. Step 2: Convert to fraction form
   166,598/362,776 = 362,776/x
3. Step 3: Cross multiply
   166,598x = 362,776 × 362,776
4. Step 4: Simplify right side
   166,598x = 131,606,426,176
5. Step 5: Solve for x
   x = 131,606,426,176/166,598
6. Step 6: Final answer
   x = 789,964.02