Finding the Third Proportional to 139,297.50 and 208,948.50

Step by Step Solution

1. Step 1: Write the proportion equation
   139,297.50 : 208,948.50 = 208,948.50 : x
2. Step 2: Convert to fraction form
   139,297.50/208,948.50 = 208,948.50/x
3. Step 3: Cross multiply
   139,297.50x = 208,948.50 × 208,948.50
4. Step 4: Simplify right side
   139,297.50x = 43,659,475,652.25
5. Step 5: Solve for x
   x = 43,659,475,652.25/139,297.50
6. Step 6: Final answer
   x = 313,426.13