Finding the Third Proportional to 86,743.50 and 189,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,743.50 : 189,205.50 = 189,205.50 : x
2. Step 2: Convert to fraction form
   86,743.50/189,205.50 = 189,205.50/x
3. Step 3: Cross multiply
   86,743.50x = 189,205.50 × 189,205.50
4. Step 4: Simplify right side
   86,743.50x = 35,798,721,230.25
5. Step 5: Solve for x
   x = 35,798,721,230.25/86,743.50
6. Step 6: Final answer
   x = 412,696.30