Finding the Third Proportional to 115,855.50 and 185,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,855.50 : 185,023.50 = 185,023.50 : x
2. Step 2: Convert to fraction form
   115,855.50/185,023.50 = 185,023.50/x
3. Step 3: Cross multiply
   115,855.50x = 185,023.50 × 185,023.50
4. Step 4: Simplify right side
   115,855.50x = 34,233,695,552.25
5. Step 5: Solve for x
   x = 34,233,695,552.25/115,855.50
6. Step 6: Final answer
   x = 295,486.15