Finding the Third Proportional to 296,153 and 422,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   296,153 : 422,077.50 = 422,077.50 : x
2. Step 2: Convert to fraction form
   296,153/422,077.50 = 422,077.50/x
3. Step 3: Cross multiply
   296,153x = 422,077.50 × 422,077.50
4. Step 4: Simplify right side
   296,153x = 178,149,416,006.25
5. Step 5: Solve for x
   x = 178,149,416,006.25/296,153
6. Step 6: Final answer
   x = 601,545.20