Finding the Third Proportional to 269,249 and 422,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,249 : 422,407.50 = 422,407.50 : x
2. Step 2: Convert to fraction form
   269,249/422,407.50 = 422,407.50/x
3. Step 3: Cross multiply
   269,249x = 422,407.50 × 422,407.50
4. Step 4: Simplify right side
   269,249x = 178,428,096,056.25
5. Step 5: Solve for x
   x = 178,428,096,056.25/269,249
6. Step 6: Final answer
   x = 662,688.05