Finding the Third Proportional to 296,101 and 422,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   296,101 : 422,007.50 = 422,007.50 : x
2. Step 2: Convert to fraction form
   296,101/422,007.50 = 422,007.50/x
3. Step 3: Cross multiply
   296,101x = 422,007.50 × 422,007.50
4. Step 4: Simplify right side
   296,101x = 178,090,330,056.25
5. Step 5: Solve for x
   x = 178,090,330,056.25/296,101
6. Step 6: Final answer
   x = 601,451.30