Finding the Third Proportional to 113,470 and 188,457

Step by Step Solution

1. Step 1: Write the proportion equation
   113,470 : 188,457 = 188,457 : x
2. Step 2: Convert to fraction form
   113,470/188,457 = 188,457/x
3. Step 3: Cross multiply
   113,470x = 188,457 × 188,457
4. Step 4: Simplify right side
   113,470x = 35,516,040,849
5. Step 5: Solve for x
   x = 35,516,040,849/113,470
6. Step 6: Final answer
   x = 312,999.39