Finding the Third Proportional to 58,655 and 127,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,655 : 127,786.50 = 127,786.50 : x
2. Step 2: Convert to fraction form
   58,655/127,786.50 = 127,786.50/x
3. Step 3: Cross multiply
   58,655x = 127,786.50 × 127,786.50
4. Step 4: Simplify right side
   58,655x = 16,329,389,582.25
5. Step 5: Solve for x
   x = 16,329,389,582.25/58,655
6. Step 6: Final answer
   x = 278,397.23