Finding the Third Proportional to 73,766 and 113,457

Step by Step Solution

1. Step 1: Write the proportion equation
   73,766 : 113,457 = 113,457 : x
2. Step 2: Convert to fraction form
   73,766/113,457 = 113,457/x
3. Step 3: Cross multiply
   73,766x = 113,457 × 113,457
4. Step 4: Simplify right side
   73,766x = 12,872,490,849
5. Step 5: Solve for x
   x = 12,872,490,849/73,766
6. Step 6: Final answer
   x = 174,504.39