Finding the Third Proportional to 189,196 and 284,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,196 : 284,588.50 = 284,588.50 : x
2. Step 2: Convert to fraction form
   189,196/284,588.50 = 284,588.50/x
3. Step 3: Cross multiply
   189,196x = 284,588.50 × 284,588.50
4. Step 4: Simplify right side
   189,196x = 80,990,614,332.25
5. Step 5: Solve for x
   x = 80,990,614,332.25/189,196
6. Step 6: Final answer
   x = 428,077.84