Finding the Third Proportional to 196,553 and 421,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,553 : 421,152.50 = 421,152.50 : x
2. Step 2: Convert to fraction form
   196,553/421,152.50 = 421,152.50/x
3. Step 3: Cross multiply
   196,553x = 421,152.50 × 421,152.50
4. Step 4: Simplify right side
   196,553x = 177,369,428,256.25
5. Step 5: Solve for x
   x = 177,369,428,256.25/196,553
6. Step 6: Final answer
   x = 902,400.01