Finding the Third Proportional to 196,585 and 296,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,585 : 296,506.50 = 296,506.50 : x
2. Step 2: Convert to fraction form
   196,585/296,506.50 = 296,506.50/x
3. Step 3: Cross multiply
   196,585x = 296,506.50 × 296,506.50
4. Step 4: Simplify right side
   196,585x = 87,916,104,542.25
5. Step 5: Solve for x
   x = 87,916,104,542.25/196,585
6. Step 6: Final answer
   x = 447,216.75