Finding the Third Proportional to 59,085 and 89,844

Step by Step Solution

1. Step 1: Write the proportion equation
   59,085 : 89,844 = 89,844 : x
2. Step 2: Convert to fraction form
   59,085/89,844 = 89,844/x
3. Step 3: Cross multiply
   59,085x = 89,844 × 89,844
4. Step 4: Simplify right side
   59,085x = 8,071,944,336
5. Step 5: Solve for x
   x = 8,071,944,336/59,085
6. Step 6: Final answer
   x = 136,615.80