Finding the Third Proportional to 189,364 and 404,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,364 : 404,972.50 = 404,972.50 : x
2. Step 2: Convert to fraction form
   189,364/404,972.50 = 404,972.50/x
3. Step 3: Cross multiply
   189,364x = 404,972.50 × 404,972.50
4. Step 4: Simplify right side
   189,364x = 164,002,725,756.25
5. Step 5: Solve for x
   x = 164,002,725,756.25/189,364
6. Step 6: Final answer
   x = 866,071.30