Finding the Third Proportional to 78,288 and 174,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,288 : 174,505.50 = 174,505.50 : x
2. Step 2: Convert to fraction form
   78,288/174,505.50 = 174,505.50/x
3. Step 3: Cross multiply
   78,288x = 174,505.50 × 174,505.50
4. Step 4: Simplify right side
   78,288x = 30,452,169,530.25
5. Step 5: Solve for x
   x = 30,452,169,530.25/78,288
6. Step 6: Final answer
   x = 388,976.21