Finding the Third Proportional to 119,978.63 and 262,556.25

Step by Step Solution

1. Step 1: Write the proportion equation
   119,978.63 : 262,556.25 = 262,556.25 : x
2. Step 2: Convert to fraction form
   119,978.63/262,556.25 = 262,556.25/x
3. Step 3: Cross multiply
   119,978.63x = 262,556.25 × 262,556.25
4. Step 4: Simplify right side
   119,978.63x = 68,935,784,414.06
5. Step 5: Solve for x
   x = 68,935,784,414.06/119,978.63
6. Step 6: Final answer
   x = 574,567.21