Finding the Third Proportional to 59,064 and 85,284

Step by Step Solution

1. Step 1: Write the proportion equation
   59,064 : 85,284 = 85,284 : x
2. Step 2: Convert to fraction form
   59,064/85,284 = 85,284/x
3. Step 3: Cross multiply
   59,064x = 85,284 × 85,284
4. Step 4: Simplify right side
   59,064x = 7,273,360,656
5. Step 5: Solve for x
   x = 7,273,360,656/59,064
6. Step 6: Final answer
   x = 123,143.72