Finding the Third Proportional to 59,126 and 128,458

Step by Step Solution

1. Step 1: Write the proportion equation
   59,126 : 128,458 = 128,458 : x
2. Step 2: Convert to fraction form
   59,126/128,458 = 128,458/x
3. Step 3: Cross multiply
   59,126x = 128,458 × 128,458
4. Step 4: Simplify right side
   59,126x = 16,501,457,764
5. Step 5: Solve for x
   x = 16,501,457,764/59,126
6. Step 6: Final answer
   x = 279,089.70