Finding the Third Proportional to 115,856 and 270,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,856 : 270,675.50 = 270,675.50 : x
2. Step 2: Convert to fraction form
   115,856/270,675.50 = 270,675.50/x
3. Step 3: Cross multiply
   115,856x = 270,675.50 × 270,675.50
4. Step 4: Simplify right side
   115,856x = 73,265,226,300.25
5. Step 5: Solve for x
   x = 73,265,226,300.25/115,856
6. Step 6: Final answer
   x = 632,381.80