Finding the Third Proportional to 139,996.50 and 189,258.75

Step by Step Solution

1. Step 1: Write the proportion equation
   139,996.50 : 189,258.75 = 189,258.75 : x
2. Step 2: Convert to fraction form
   139,996.50/189,258.75 = 189,258.75/x
3. Step 3: Cross multiply
   139,996.50x = 189,258.75 × 189,258.75
4. Step 4: Simplify right side
   139,996.50x = 35,818,874,451.56
5. Step 5: Solve for x
   x = 35,818,874,451.56/139,996.50
6. Step 6: Final answer
   x = 255,855.50