Finding the Third Proportional to 89,991.50 and 196,932.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,991.50 : 196,932.25 = 196,932.25 : x
2. Step 2: Convert to fraction form
   89,991.50/196,932.25 = 196,932.25/x
3. Step 3: Cross multiply
   89,991.50x = 196,932.25 × 196,932.25
4. Step 4: Simplify right side
   89,991.50x = 38,782,311,090.06
5. Step 5: Solve for x
   x = 38,782,311,090.06/89,991.50
6. Step 6: Final answer
   x = 430,955.27