Finding the Third Proportional to 223,587 and 338,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   223,587 : 338,269.50 = 338,269.50 : x
2. Step 2: Convert to fraction form
   223,587/338,269.50 = 338,269.50/x
3. Step 3: Cross multiply
   223,587x = 338,269.50 × 338,269.50
4. Step 4: Simplify right side
   223,587x = 114,426,254,630.25
5. Step 5: Solve for x
   x = 114,426,254,630.25/223,587
6. Step 6: Final answer
   x = 511,775.08