Finding the Third Proportional to 196,807.50 and 407,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,807.50 : 407,617.50 = 407,617.50 : x
2. Step 2: Convert to fraction form
   196,807.50/407,617.50 = 407,617.50/x
3. Step 3: Cross multiply
   196,807.50x = 407,617.50 × 407,617.50
4. Step 4: Simplify right side
   196,807.50x = 166,152,026,306.25
5. Step 5: Solve for x
   x = 166,152,026,306.25/196,807.50
6. Step 6: Final answer
   x = 844,236.25