Finding the Third Proportional to 86,469 and 189,340.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,469 : 189,340.50 = 189,340.50 : x
2. Step 2: Convert to fraction form
   86,469/189,340.50 = 189,340.50/x
3. Step 3: Cross multiply
   86,469x = 189,340.50 × 189,340.50
4. Step 4: Simplify right side
   86,469x = 35,849,824,940.25
5. Step 5: Solve for x
   x = 35,849,824,940.25/86,469
6. Step 6: Final answer
   x = 414,597.43