Finding the Third Proportional to 183,566 and 377,012

Step by Step Solution

1. Step 1: Write the proportion equation
   183,566 : 377,012 = 377,012 : x
2. Step 2: Convert to fraction form
   183,566/377,012 = 377,012/x
3. Step 3: Cross multiply
   183,566x = 377,012 × 377,012
4. Step 4: Simplify right side
   183,566x = 142,138,048,144
5. Step 5: Solve for x
   x = 142,138,048,144/183,566
6. Step 6: Final answer
   x = 774,315.77