Finding the Third Proportional to 194,085.50 and 422,343

Step by Step Solution

1. Step 1: Write the proportion equation
   194,085.50 : 422,343 = 422,343 : x
2. Step 2: Convert to fraction form
   194,085.50/422,343 = 422,343/x
3. Step 3: Cross multiply
   194,085.50x = 422,343 × 422,343
4. Step 4: Simplify right side
   194,085.50x = 178,373,609,649
5. Step 5: Solve for x
   x = 178,373,609,649/194,085.50
6. Step 6: Final answer
   x = 919,046.55