Finding the Third Proportional to 59,175 and 83,234

Step by Step Solution

1. Step 1: Write the proportion equation
   59,175 : 83,234 = 83,234 : x
2. Step 2: Convert to fraction form
   59,175/83,234 = 83,234/x
3. Step 3: Cross multiply
   59,175x = 83,234 × 83,234
4. Step 4: Simplify right side
   59,175x = 6,927,898,756
5. Step 5: Solve for x
   x = 6,927,898,756/59,175
6. Step 6: Final answer
   x = 117,074.76