Finding the Third Proportional to 85,664.25 and 189,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,664.25 : 189,688.50 = 189,688.50 : x
2. Step 2: Convert to fraction form
   85,664.25/189,688.50 = 189,688.50/x
3. Step 3: Cross multiply
   85,664.25x = 189,688.50 × 189,688.50
4. Step 4: Simplify right side
   85,664.25x = 35,981,727,032.25
5. Step 5: Solve for x
   x = 35,981,727,032.25/85,664.25
6. Step 6: Final answer
   x = 420,032.01