Finding the Third Proportional to 196,704 and 422,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,704 : 422,077.50 = 422,077.50 : x
2. Step 2: Convert to fraction form
   196,704/422,077.50 = 422,077.50/x
3. Step 3: Cross multiply
   196,704x = 422,077.50 × 422,077.50
4. Step 4: Simplify right side
   196,704x = 178,149,416,006.25
5. Step 5: Solve for x
   x = 178,149,416,006.25/196,704
6. Step 6: Final answer
   x = 905,672.56