Finding the Third Proportional to 193,590 and 415,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,590 : 415,196.50 = 415,196.50 : x
2. Step 2: Convert to fraction form
   193,590/415,196.50 = 415,196.50/x
3. Step 3: Cross multiply
   193,590x = 415,196.50 × 415,196.50
4. Step 4: Simplify right side
   193,590x = 172,388,133,612.25
5. Step 5: Solve for x
   x = 172,388,133,612.25/193,590
6. Step 6: Final answer
   x = 890,480.57