Finding the Third Proportional to 59,306 and 141,758

Step by Step Solution

1. Step 1: Write the proportion equation
   59,306 : 141,758 = 141,758 : x
2. Step 2: Convert to fraction form
   59,306/141,758 = 141,758/x
3. Step 3: Cross multiply
   59,306x = 141,758 × 141,758
4. Step 4: Simplify right side
   59,306x = 20,095,330,564
5. Step 5: Solve for x
   x = 20,095,330,564/59,306
6. Step 6: Final answer
   x = 338,841.44