Finding the Third Proportional to 189,382.50 and 405,364.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,382.50 : 405,364.50 = 405,364.50 : x
2. Step 2: Convert to fraction form
   189,382.50/405,364.50 = 405,364.50/x
3. Step 3: Cross multiply
   189,382.50x = 405,364.50 × 405,364.50
4. Step 4: Simplify right side
   189,382.50x = 164,320,377,860.25
5. Step 5: Solve for x
   x = 164,320,377,860.25/189,382.50
6. Step 6: Final answer
   x = 867,664.00