Finding the Third Proportional to 115,983 and 254,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,983 : 254,380.50 = 254,380.50 : x
2. Step 2: Convert to fraction form
   115,983/254,380.50 = 254,380.50/x
3. Step 3: Cross multiply
   115,983x = 254,380.50 × 254,380.50
4. Step 4: Simplify right side
   115,983x = 64,709,438,780.25
5. Step 5: Solve for x
   x = 64,709,438,780.25/115,983
6. Step 6: Final answer
   x = 557,921.75