Finding the Third Proportional to 89,965.50 and 193,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,965.50 : 193,552.50 = 193,552.50 : x
2. Step 2: Convert to fraction form
   89,965.50/193,552.50 = 193,552.50/x
3. Step 3: Cross multiply
   89,965.50x = 193,552.50 × 193,552.50
4. Step 4: Simplify right side
   89,965.50x = 37,462,570,256.25
5. Step 5: Solve for x
   x = 37,462,570,256.25/89,965.50
6. Step 6: Final answer
   x = 416,410.40