Finding the Third Proportional to 194,683.50 and 422,415

Step by Step Solution

1. Step 1: Write the proportion equation
   194,683.50 : 422,415 = 422,415 : x
2. Step 2: Convert to fraction form
   194,683.50/422,415 = 422,415/x
3. Step 3: Cross multiply
   194,683.50x = 422,415 × 422,415
4. Step 4: Simplify right side
   194,683.50x = 178,434,432,225
5. Step 5: Solve for x
   x = 178,434,432,225/194,683.50
6. Step 6: Final answer
   x = 916,535.98