Finding the Third Proportional to 101,533 and 234,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,533 : 234,008.50 = 234,008.50 : x
2. Step 2: Convert to fraction form
   101,533/234,008.50 = 234,008.50/x
3. Step 3: Cross multiply
   101,533x = 234,008.50 × 234,008.50
4. Step 4: Simplify right side
   101,533x = 54,759,978,072.25
5. Step 5: Solve for x
   x = 54,759,978,072.25/101,533
6. Step 6: Final answer
   x = 539,331.82