Finding the Third Proportional to 89,931 and 196,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,931 : 196,993.50 = 196,993.50 : x
2. Step 2: Convert to fraction form
   89,931/196,993.50 = 196,993.50/x
3. Step 3: Cross multiply
   89,931x = 196,993.50 × 196,993.50
4. Step 4: Simplify right side
   89,931x = 38,806,439,042.25
5. Step 5: Solve for x
   x = 38,806,439,042.25/89,931
6. Step 6: Final answer
   x = 431,513.48