Finding the Third Proportional to 89,455.50 and 189,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,455.50 : 189,256.50 = 189,256.50 : x
2. Step 2: Convert to fraction form
   89,455.50/189,256.50 = 189,256.50/x
3. Step 3: Cross multiply
   89,455.50x = 189,256.50 × 189,256.50
4. Step 4: Simplify right side
   89,455.50x = 35,818,022,792.25
5. Step 5: Solve for x
   x = 35,818,022,792.25/89,455.50
6. Step 6: Final answer
   x = 400,400.45