Finding the Third Proportional to 296,181 and 422,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   296,181 : 422,116.50 = 422,116.50 : x
2. Step 2: Convert to fraction form
   296,181/422,116.50 = 422,116.50/x
3. Step 3: Cross multiply
   296,181x = 422,116.50 × 422,116.50
4. Step 4: Simplify right side
   296,181x = 178,182,339,572.25
5. Step 5: Solve for x
   x = 178,182,339,572.25/296,181
6. Step 6: Final answer
   x = 601,599.49