Finding the Third Proportional to 181,204 and 368,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,204 : 368,422.50 = 368,422.50 : x
2. Step 2: Convert to fraction form
   181,204/368,422.50 = 368,422.50/x
3. Step 3: Cross multiply
   181,204x = 368,422.50 × 368,422.50
4. Step 4: Simplify right side
   181,204x = 135,735,138,506.25
5. Step 5: Solve for x
   x = 135,735,138,506.25/181,204
6. Step 6: Final answer
   x = 749,073.63