Finding the Third Proportional to 90,009 and 196,967.25

Step by Step Solution

1. Step 1: Write the proportion equation
   90,009 : 196,967.25 = 196,967.25 : x
2. Step 2: Convert to fraction form
   90,009/196,967.25 = 196,967.25/x
3. Step 3: Cross multiply
   90,009x = 196,967.25 × 196,967.25
4. Step 4: Simplify right side
   90,009x = 38,796,097,572.56
5. Step 5: Solve for x
   x = 38,796,097,572.56/90,009
6. Step 6: Final answer
   x = 431,024.65