Finding the Third Proportional to 269,601 and 422,887.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,601 : 422,887.50 = 422,887.50 : x
2. Step 2: Convert to fraction form
   269,601/422,887.50 = 422,887.50/x
3. Step 3: Cross multiply
   269,601x = 422,887.50 × 422,887.50
4. Step 4: Simplify right side
   269,601x = 178,833,837,656.25
5. Step 5: Solve for x
   x = 178,833,837,656.25/269,601
6. Step 6: Final answer
   x = 663,327.80