Finding the Third Proportional to 139,709.50 and 209,574

Step by Step Solution

1. Step 1: Write the proportion equation
   139,709.50 : 209,574 = 209,574 : x
2. Step 2: Convert to fraction form
   139,709.50/209,574 = 209,574/x
3. Step 3: Cross multiply
   139,709.50x = 209,574 × 209,574
4. Step 4: Simplify right side
   139,709.50x = 43,921,261,476
5. Step 5: Solve for x
   x = 43,921,261,476/139,709.50
6. Step 6: Final answer
   x = 314,375.63