Finding the Third Proportional to 59,546 and 83,255

Step by Step Solution

1. Step 1: Write the proportion equation
   59,546 : 83,255 = 83,255 : x
2. Step 2: Convert to fraction form
   59,546/83,255 = 83,255/x
3. Step 3: Cross multiply
   59,546x = 83,255 × 83,255
4. Step 4: Simplify right side
   59,546x = 6,931,395,025
5. Step 5: Solve for x
   x = 6,931,395,025/59,546
6. Step 6: Final answer
   x = 116,404.04