Finding the Third Proportional to 139,069.50 and 193,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   139,069.50 : 193,474.50 = 193,474.50 : x
2. Step 2: Convert to fraction form
   139,069.50/193,474.50 = 193,474.50/x
3. Step 3: Cross multiply
   139,069.50x = 193,474.50 × 193,474.50
4. Step 4: Simplify right side
   139,069.50x = 37,432,382,150.25
5. Step 5: Solve for x
   x = 37,432,382,150.25/139,069.50
6. Step 6: Final answer
   x = 269,163.13