Finding the Third Proportional to 82,066.50 and 189,081

Step by Step Solution

1. Step 1: Write the proportion equation
   82,066.50 : 189,081 = 189,081 : x
2. Step 2: Convert to fraction form
   82,066.50/189,081 = 189,081/x
3. Step 3: Cross multiply
   82,066.50x = 189,081 × 189,081
4. Step 4: Simplify right side
   82,066.50x = 35,751,624,561
5. Step 5: Solve for x
   x = 35,751,624,561/82,066.50
6. Step 6: Final answer
   x = 435,642.13