Finding the Third Proportional to 206,433 and 341,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   206,433 : 341,650.50 = 341,650.50 : x
2. Step 2: Convert to fraction form
   206,433/341,650.50 = 341,650.50/x
3. Step 3: Cross multiply
   206,433x = 341,650.50 × 341,650.50
4. Step 4: Simplify right side
   206,433x = 116,725,064,150.25
5. Step 5: Solve for x
   x = 116,725,064,150.25/206,433
6. Step 6: Final answer
   x = 565,438.01