Finding the Third Proportional to 89,733.50 and 188,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,733.50 : 188,762.50 = 188,762.50 : x
2. Step 2: Convert to fraction form
   89,733.50/188,762.50 = 188,762.50/x
3. Step 3: Cross multiply
   89,733.50x = 188,762.50 × 188,762.50
4. Step 4: Simplify right side
   89,733.50x = 35,631,281,406.25
5. Step 5: Solve for x
   x = 35,631,281,406.25/89,733.50
6. Step 6: Final answer
   x = 397,078.92