Finding the Third Proportional to 113,679 and 189,453.75

Step by Step Solution

1. Step 1: Write the proportion equation
   113,679 : 189,453.75 = 189,453.75 : x
2. Step 2: Convert to fraction form
   113,679/189,453.75 = 189,453.75/x
3. Step 3: Cross multiply
   113,679x = 189,453.75 × 189,453.75
4. Step 4: Simplify right side
   113,679x = 35,892,723,389.06
5. Step 5: Solve for x
   x = 35,892,723,389.06/113,679
6. Step 6: Final answer
   x = 315,737.50