Finding the Third Proportional to 86,713.50 and 189,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,713.50 : 189,145.50 = 189,145.50 : x
2. Step 2: Convert to fraction form
   86,713.50/189,145.50 = 189,145.50/x
3. Step 3: Cross multiply
   86,713.50x = 189,145.50 × 189,145.50
4. Step 4: Simplify right side
   86,713.50x = 35,776,020,170.25
5. Step 5: Solve for x
   x = 35,776,020,170.25/86,713.50
6. Step 6: Final answer
   x = 412,577.28