Finding the Third Proportional to 58,797 and 138,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,797 : 138,775.50 = 138,775.50 : x
2. Step 2: Convert to fraction form
   58,797/138,775.50 = 138,775.50/x
3. Step 3: Cross multiply
   58,797x = 138,775.50 × 138,775.50
4. Step 4: Simplify right side
   58,797x = 19,258,639,400.25
5. Step 5: Solve for x
   x = 19,258,639,400.25/58,797
6. Step 6: Final answer
   x = 327,544.59