Finding the Third Proportional to 91,092 and 198,991.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,092 : 198,991.50 = 198,991.50 : x
2. Step 2: Convert to fraction form
   91,092/198,991.50 = 198,991.50/x
3. Step 3: Cross multiply
   91,092x = 198,991.50 × 198,991.50
4. Step 4: Simplify right side
   91,092x = 39,597,617,072.25
5. Step 5: Solve for x
   x = 39,597,617,072.25/91,092
6. Step 6: Final answer
   x = 434,699.17