Finding the Third Proportional to 197,724 and 306,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   197,724 : 306,415.50 = 306,415.50 : x
2. Step 2: Convert to fraction form
   197,724/306,415.50 = 306,415.50/x
3. Step 3: Cross multiply
   197,724x = 306,415.50 × 306,415.50
4. Step 4: Simplify right side
   197,724x = 93,890,458,640.25
5. Step 5: Solve for x
   x = 93,890,458,640.25/197,724
6. Step 6: Final answer
   x = 474,856.16