Finding the Third Proportional to 89,929.50 and 196,990.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,929.50 : 196,990.50 = 196,990.50 : x
2. Step 2: Convert to fraction form
   89,929.50/196,990.50 = 196,990.50/x
3. Step 3: Cross multiply
   89,929.50x = 196,990.50 × 196,990.50
4. Step 4: Simplify right side
   89,929.50x = 38,805,257,090.25
5. Step 5: Solve for x
   x = 38,805,257,090.25/89,929.50
6. Step 6: Final answer
   x = 431,507.54