Finding the Third Proportional to 92,191.50 and 193,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,191.50 : 193,648.50 = 193,648.50 : x
2. Step 2: Convert to fraction form
   92,191.50/193,648.50 = 193,648.50/x
3. Step 3: Cross multiply
   92,191.50x = 193,648.50 × 193,648.50
4. Step 4: Simplify right side
   92,191.50x = 37,499,741,552.25
5. Step 5: Solve for x
   x = 37,499,741,552.25/92,191.50
6. Step 6: Final answer
   x = 406,759.21