Finding the Third Proportional to 118,856 and 261,038

Step by Step Solution

1. Step 1: Write the proportion equation
   118,856 : 261,038 = 261,038 : x
2. Step 2: Convert to fraction form
   118,856/261,038 = 261,038/x
3. Step 3: Cross multiply
   118,856x = 261,038 × 261,038
4. Step 4: Simplify right side
   118,856x = 68,140,837,444
5. Step 5: Solve for x
   x = 68,140,837,444/118,856
6. Step 6: Final answer
   x = 573,305.83