Finding the Third Proportional to 133,369 and 206,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,369 : 206,443.50 = 206,443.50 : x
2. Step 2: Convert to fraction form
   133,369/206,443.50 = 206,443.50/x
3. Step 3: Cross multiply
   133,369x = 206,443.50 × 206,443.50
4. Step 4: Simplify right side
   133,369x = 42,618,918,692.25
5. Step 5: Solve for x
   x = 42,618,918,692.25/133,369
6. Step 6: Final answer
   x = 319,556.41