Finding the Third Proportional to 194,017.50 and 422,208

Step by Step Solution

1. Step 1: Write the proportion equation
   194,017.50 : 422,208 = 422,208 : x
2. Step 2: Convert to fraction form
   194,017.50/422,208 = 422,208/x
3. Step 3: Cross multiply
   194,017.50x = 422,208 × 422,208
4. Step 4: Simplify right side
   194,017.50x = 178,259,595,264
5. Step 5: Solve for x
   x = 178,259,595,264/194,017.50
6. Step 6: Final answer
   x = 918,781.01