Finding the Third Proportional to 58.50 and 130.69

Step by Step Solution

1. Step 1: Write the proportion equation
   58.50 : 130.69 = 130.69 : x
2. Step 2: Convert to fraction form
   58.50/130.69 = 130.69/x
3. Step 3: Cross multiply
   58.50x = 130.69 × 130.69
4. Step 4: Simplify right side
   58.50x = 17,079.22
5. Step 5: Solve for x
   x = 17,079.22/58.50
6. Step 6: Final answer
   x = 291.95