Finding the Third Proportional to 189,306 and 404,878.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,306 : 404,878.50 = 404,878.50 : x
2. Step 2: Convert to fraction form
   189,306/404,878.50 = 404,878.50/x
3. Step 3: Cross multiply
   189,306x = 404,878.50 × 404,878.50
4. Step 4: Simplify right side
   189,306x = 163,926,599,762.25
5. Step 5: Solve for x
   x = 163,926,599,762.25/189,306
6. Step 6: Final answer
   x = 865,934.52