Finding the Third Proportional to 119,967 and 256,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,967 : 256,537.50 = 256,537.50 : x
2. Step 2: Convert to fraction form
   119,967/256,537.50 = 256,537.50/x
3. Step 3: Cross multiply
   119,967x = 256,537.50 × 256,537.50
4. Step 4: Simplify right side
   119,967x = 65,811,488,906.25
5. Step 5: Solve for x
   x = 65,811,488,906.25/119,967
6. Step 6: Final answer
   x = 548,579.93