Finding the Third Proportional to 59,256 and 83,340

Step by Step Solution

1. Step 1: Write the proportion equation
   59,256 : 83,340 = 83,340 : x
2. Step 2: Convert to fraction form
   59,256/83,340 = 83,340/x
3. Step 3: Cross multiply
   59,256x = 83,340 × 83,340
4. Step 4: Simplify right side
   59,256x = 6,945,555,600
5. Step 5: Solve for x
   x = 6,945,555,600/59,256
6. Step 6: Final answer
   x = 117,212.70