Finding the Third Proportional to 164,538 and 349,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,538 : 349,836.50 = 349,836.50 : x
2. Step 2: Convert to fraction form
   164,538/349,836.50 = 349,836.50/x
3. Step 3: Cross multiply
   164,538x = 349,836.50 × 349,836.50
4. Step 4: Simplify right side
   164,538x = 122,385,576,732.25
5. Step 5: Solve for x
   x = 122,385,576,732.25/164,538
6. Step 6: Final answer
   x = 743,813.45