Finding the Third Proportional to 196,433 and 304,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,433 : 304,705.50 = 304,705.50 : x
2. Step 2: Convert to fraction form
   196,433/304,705.50 = 304,705.50/x
3. Step 3: Cross multiply
   196,433x = 304,705.50 × 304,705.50
4. Step 4: Simplify right side
   196,433x = 92,845,441,730.25
5. Step 5: Solve for x
   x = 92,845,441,730.25/196,433
6. Step 6: Final answer
   x = 472,657.05