Finding the Third Proportional to 113,685 and 189,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,685 : 189,463.50 = 189,463.50 : x
2. Step 2: Convert to fraction form
   113,685/189,463.50 = 189,463.50/x
3. Step 3: Cross multiply
   113,685x = 189,463.50 × 189,463.50
4. Step 4: Simplify right side
   113,685x = 35,896,417,832.25
5. Step 5: Solve for x
   x = 35,896,417,832.25/113,685
6. Step 6: Final answer
   x = 315,753.33