Finding the Third Proportional to 81,121 and 188,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,121 : 188,466.50 = 188,466.50 : x
2. Step 2: Convert to fraction form
   81,121/188,466.50 = 188,466.50/x
3. Step 3: Cross multiply
   81,121x = 188,466.50 × 188,466.50
4. Step 4: Simplify right side
   81,121x = 35,519,621,622.25
5. Step 5: Solve for x
   x = 35,519,621,622.25/81,121
6. Step 6: Final answer
   x = 437,859.76