Finding the Third Proportional to 55,665 and 115,267.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,665 : 115,267.50 = 115,267.50 : x
2. Step 2: Convert to fraction form
   55,665/115,267.50 = 115,267.50/x
3. Step 3: Cross multiply
   55,665x = 115,267.50 × 115,267.50
4. Step 4: Simplify right side
   55,665x = 13,286,596,556.25
5. Step 5: Solve for x
   x = 13,286,596,556.25/55,665
6. Step 6: Final answer
   x = 238,688.52