Finding the Third Proportional to 113,834 and 164,457

Step by Step Solution

1. Step 1: Write the proportion equation
   113,834 : 164,457 = 164,457 : x
2. Step 2: Convert to fraction form
   113,834/164,457 = 164,457/x
3. Step 3: Cross multiply
   113,834x = 164,457 × 164,457
4. Step 4: Simplify right side
   113,834x = 27,046,104,849
5. Step 5: Solve for x
   x = 27,046,104,849/113,834
6. Step 6: Final answer
   x = 237,592.50