Finding the Third Proportional to 116,782 and 241,866

Step by Step Solution

1. Step 1: Write the proportion equation
   116,782 : 241,866 = 241,866 : x
2. Step 2: Convert to fraction form
   116,782/241,866 = 241,866/x
3. Step 3: Cross multiply
   116,782x = 241,866 × 241,866
4. Step 4: Simplify right side
   116,782x = 58,499,161,956
5. Step 5: Solve for x
   x = 58,499,161,956/116,782
6. Step 6: Final answer
   x = 500,926.19