Finding the Third Proportional to 133,005 and 199,603.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,005 : 199,603.50 = 199,603.50 : x
2. Step 2: Convert to fraction form
   133,005/199,603.50 = 199,603.50/x
3. Step 3: Cross multiply
   133,005x = 199,603.50 × 199,603.50
4. Step 4: Simplify right side
   133,005x = 39,841,557,212.25
5. Step 5: Solve for x
   x = 39,841,557,212.25/133,005
6. Step 6: Final answer
   x = 299,549.32