Finding the Third Proportional to 58.50 and 90.56

Step by Step Solution

1. Step 1: Write the proportion equation
   58.50 : 90.56 = 90.56 : x
2. Step 2: Convert to fraction form
   58.50/90.56 = 90.56/x
3. Step 3: Cross multiply
   58.50x = 90.56 × 90.56
4. Step 4: Simplify right side
   58.50x = 8,201.57
5. Step 5: Solve for x
   x = 8,201.57/58.50
6. Step 6: Final answer
   x = 140.20