Finding the Third Proportional to 59,657 and 128,457

Step by Step Solution

1. Step 1: Write the proportion equation
   59,657 : 128,457 = 128,457 : x
2. Step 2: Convert to fraction form
   59,657/128,457 = 128,457/x
3. Step 3: Cross multiply
   59,657x = 128,457 × 128,457
4. Step 4: Simplify right side
   59,657x = 16,501,200,849
5. Step 5: Solve for x
   x = 16,501,200,849/59,657
6. Step 6: Final answer
   x = 276,601.25