Finding the Third Proportional to 183,533 and 406,371.50

Step by Step Solution

1. Step 1: Write the proportion equation
   183,533 : 406,371.50 = 406,371.50 : x
2. Step 2: Convert to fraction form
   183,533/406,371.50 = 406,371.50/x
3. Step 3: Cross multiply
   183,533x = 406,371.50 × 406,371.50
4. Step 4: Simplify right side
   183,533x = 165,137,796,012.25
5. Step 5: Solve for x
   x = 165,137,796,012.25/183,533
6. Step 6: Final answer
   x = 899,771.68