Finding the Third Proportional to 74,203 and 174,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,203 : 174,986.50 = 174,986.50 : x
2. Step 2: Convert to fraction form
   74,203/174,986.50 = 174,986.50/x
3. Step 3: Cross multiply
   74,203x = 174,986.50 × 174,986.50
4. Step 4: Simplify right side
   74,203x = 30,620,275,182.25
5. Step 5: Solve for x
   x = 30,620,275,182.25/74,203
6. Step 6: Final answer
   x = 412,655.49