Finding the Third Proportional to 128,991 and 195,433.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,991 : 195,433.50 = 195,433.50 : x
2. Step 2: Convert to fraction form
   128,991/195,433.50 = 195,433.50/x
3. Step 3: Cross multiply
   128,991x = 195,433.50 × 195,433.50
4. Step 4: Simplify right side
   128,991x = 38,194,252,922.25
5. Step 5: Solve for x
   x = 38,194,252,922.25/128,991
6. Step 6: Final answer
   x = 296,100.14