Finding the Third Proportional to 80,547 and 189,529.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,547 : 189,529.50 = 189,529.50 : x
2. Step 2: Convert to fraction form
   80,547/189,529.50 = 189,529.50/x
3. Step 3: Cross multiply
   80,547x = 189,529.50 × 189,529.50
4. Step 4: Simplify right side
   80,547x = 35,921,431,370.25
5. Step 5: Solve for x
   x = 35,921,431,370.25/80,547
6. Step 6: Final answer
   x = 445,968.58