Finding the Third Proportional to 267,876 and 415,237.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,876 : 415,237.50 = 415,237.50 : x
2. Step 2: Convert to fraction form
   267,876/415,237.50 = 415,237.50/x
3. Step 3: Cross multiply
   267,876x = 415,237.50 × 415,237.50
4. Step 4: Simplify right side
   267,876x = 172,422,181,406.25
5. Step 5: Solve for x
   x = 172,422,181,406.25/267,876
6. Step 6: Final answer
   x = 643,664.16