Finding the Third Proportional to 218,749.50 and 357,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   218,749.50 : 357,196.50 = 357,196.50 : x
2. Step 2: Convert to fraction form
   218,749.50/357,196.50 = 357,196.50/x
3. Step 3: Cross multiply
   218,749.50x = 357,196.50 × 357,196.50
4. Step 4: Simplify right side
   218,749.50x = 127,589,339,612.25
5. Step 5: Solve for x
   x = 127,589,339,612.25/218,749.50
6. Step 6: Final answer
   x = 583,266.89