Finding the Third Proportional to 78,072 and 167,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,072 : 167,983.50 = 167,983.50 : x
2. Step 2: Convert to fraction form
   78,072/167,983.50 = 167,983.50/x
3. Step 3: Cross multiply
   78,072x = 167,983.50 × 167,983.50
4. Step 4: Simplify right side
   78,072x = 28,218,456,272.25
5. Step 5: Solve for x
   x = 28,218,456,272.25/78,072
6. Step 6: Final answer
   x = 361,441.44