Finding the Third Proportional to 102,317.50 and 209,555

Step by Step Solution

1. Step 1: Write the proportion equation
   102,317.50 : 209,555 = 209,555 : x
2. Step 2: Convert to fraction form
   102,317.50/209,555 = 209,555/x
3. Step 3: Cross multiply
   102,317.50x = 209,555 × 209,555
4. Step 4: Simplify right side
   102,317.50x = 43,913,298,025
5. Step 5: Solve for x
   x = 43,913,298,025/102,317.50
6. Step 6: Final answer
   x = 429,186.58