Finding the Third Proportional to 196,834.50 and 472,403.25

Step by Step Solution

1. Step 1: Write the proportion equation
   196,834.50 : 472,403.25 = 472,403.25 : x
2. Step 2: Convert to fraction form
   196,834.50/472,403.25 = 472,403.25/x
3. Step 3: Cross multiply
   196,834.50x = 472,403.25 × 472,403.25
4. Step 4: Simplify right side
   196,834.50x = 223,164,830,610.56
5. Step 5: Solve for x
   x = 223,164,830,610.56/196,834.50
6. Step 6: Final answer
   x = 1,133,768.88