Finding the Third Proportional to 226,061 and 342,002

Step by Step Solution

1. Step 1: Write the proportion equation
   226,061 : 342,002 = 342,002 : x
2. Step 2: Convert to fraction form
   226,061/342,002 = 342,002/x
3. Step 3: Cross multiply
   226,061x = 342,002 × 342,002
4. Step 4: Simplify right side
   226,061x = 116,965,368,004
5. Step 5: Solve for x
   x = 116,965,368,004/226,061
6. Step 6: Final answer
   x = 517,406.22