Finding the Third Proportional to 52,983 and 115,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,983 : 115,078.50 = 115,078.50 : x
2. Step 2: Convert to fraction form
   52,983/115,078.50 = 115,078.50/x
3. Step 3: Cross multiply
   52,983x = 115,078.50 × 115,078.50
4. Step 4: Simplify right side
   52,983x = 13,243,061,162.25
5. Step 5: Solve for x
   x = 13,243,061,162.25/52,983
6. Step 6: Final answer
   x = 249,949.25