Finding the Third Proportional to 117,427.50 and 261,750

Step by Step Solution

1. Step 1: Write the proportion equation
   117,427.50 : 261,750 = 261,750 : x
2. Step 2: Convert to fraction form
   117,427.50/261,750 = 261,750/x
3. Step 3: Cross multiply
   117,427.50x = 261,750 × 261,750
4. Step 4: Simplify right side
   117,427.50x = 68,513,062,500
5. Step 5: Solve for x
   x = 68,513,062,500/117,427.50
6. Step 6: Final answer
   x = 583,449.89