Finding the Third Proportional to 251,004 and 377,061

Step by Step Solution

1. Step 1: Write the proportion equation
   251,004 : 377,061 = 377,061 : x
2. Step 2: Convert to fraction form
   251,004/377,061 = 377,061/x
3. Step 3: Cross multiply
   251,004x = 377,061 × 377,061
4. Step 4: Simplify right side
   251,004x = 142,174,997,721
5. Step 5: Solve for x
   x = 142,174,997,721/251,004
6. Step 6: Final answer
   x = 566,425.23