Finding the Third Proportional to 116,379 and 177,951

Step by Step Solution

1. Step 1: Write the proportion equation
   116,379 : 177,951 = 177,951 : x
2. Step 2: Convert to fraction form
   116,379/177,951 = 177,951/x
3. Step 3: Cross multiply
   116,379x = 177,951 × 177,951
4. Step 4: Simplify right side
   116,379x = 31,666,558,401
5. Step 5: Solve for x
   x = 31,666,558,401/116,379
6. Step 6: Final answer
   x = 272,098.56