Finding the Third Proportional to 183,561 and 377,004

Step by Step Solution

1. Step 1: Write the proportion equation
   183,561 : 377,004 = 377,004 : x
2. Step 2: Convert to fraction form
   183,561/377,004 = 377,004/x
3. Step 3: Cross multiply
   183,561x = 377,004 × 377,004
4. Step 4: Simplify right side
   183,561x = 142,132,016,016
5. Step 5: Solve for x
   x = 142,132,016,016/183,561
6. Step 6: Final answer
   x = 774,304.00