Finding the Third Proportional to 59,126 and 136,738

Step by Step Solution

1. Step 1: Write the proportion equation
   59,126 : 136,738 = 136,738 : x
2. Step 2: Convert to fraction form
   59,126/136,738 = 136,738/x
3. Step 3: Cross multiply
   59,126x = 136,738 × 136,738
4. Step 4: Simplify right side
   59,126x = 18,697,280,644
5. Step 5: Solve for x
   x = 18,697,280,644/59,126
6. Step 6: Final answer
   x = 316,227.73