Finding the Third Proportional to 92,365.50 and 199,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,365.50 : 199,153.50 = 199,153.50 : x
2. Step 2: Convert to fraction form
   92,365.50/199,153.50 = 199,153.50/x
3. Step 3: Cross multiply
   92,365.50x = 199,153.50 × 199,153.50
4. Step 4: Simplify right side
   92,365.50x = 39,662,116,562.25
5. Step 5: Solve for x
   x = 39,662,116,562.25/92,365.50
6. Step 6: Final answer
   x = 429,404.02