Finding the Third Proportional to 113,688 and 189,468

Step by Step Solution

1. Step 1: Write the proportion equation
   113,688 : 189,468 = 189,468 : x
2. Step 2: Convert to fraction form
   113,688/189,468 = 189,468/x
3. Step 3: Cross multiply
   113,688x = 189,468 × 189,468
4. Step 4: Simplify right side
   113,688x = 35,898,123,024
5. Step 5: Solve for x
   x = 35,898,123,024/113,688
6. Step 6: Final answer
   x = 315,760.00