Finding the Third Proportional to 194,508 and 422,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,508 : 422,212.50 = 422,212.50 : x
2. Step 2: Convert to fraction form
   194,508/422,212.50 = 422,212.50/x
3. Step 3: Cross multiply
   194,508x = 422,212.50 × 422,212.50
4. Step 4: Simplify right side
   194,508x = 178,263,395,156.25
5. Step 5: Solve for x
   x = 178,263,395,156.25/194,508
6. Step 6: Final answer
   x = 916,483.62