Finding the Third Proportional to 196,402.50 and 421,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,402.50 : 421,870.50 = 421,870.50 : x
2. Step 2: Convert to fraction form
   196,402.50/421,870.50 = 421,870.50/x
3. Step 3: Cross multiply
   196,402.50x = 421,870.50 × 421,870.50
4. Step 4: Simplify right side
   196,402.50x = 177,974,718,770.25
5. Step 5: Solve for x
   x = 177,974,718,770.25/196,402.50
6. Step 6: Final answer
   x = 906,173.39