Finding the Third Proportional to 198,072 and 269,122.50

Step by Step Solution

1. Step 1: Write the proportion equation
   198,072 : 269,122.50 = 269,122.50 : x
2. Step 2: Convert to fraction form
   198,072/269,122.50 = 269,122.50/x
3. Step 3: Cross multiply
   198,072x = 269,122.50 × 269,122.50
4. Step 4: Simplify right side
   198,072x = 72,426,920,006.25
5. Step 5: Solve for x
   x = 72,426,920,006.25/198,072
6. Step 6: Final answer
   x = 365,659.56