Finding the Third Proportional to 59,094 and 90,830

Step by Step Solution

1. Step 1: Write the proportion equation
   59,094 : 90,830 = 90,830 : x
2. Step 2: Convert to fraction form
   59,094/90,830 = 90,830/x
3. Step 3: Cross multiply
   59,094x = 90,830 × 90,830
4. Step 4: Simplify right side
   59,094x = 8,250,088,900
5. Step 5: Solve for x
   x = 8,250,088,900/59,094
6. Step 6: Final answer
   x = 139,609.59