Finding the Third Proportional to 59,580 and 92,166

Step by Step Solution

1. Step 1: Write the proportion equation
   59,580 : 92,166 = 92,166 : x
2. Step 2: Convert to fraction form
   59,580/92,166 = 92,166/x
3. Step 3: Cross multiply
   59,580x = 92,166 × 92,166
4. Step 4: Simplify right side
   59,580x = 8,494,571,556
5. Step 5: Solve for x
   x = 8,494,571,556/59,580
6. Step 6: Final answer
   x = 142,574.21