Finding the Third Proportional to 119,889 and 258,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,889 : 258,475.50 = 258,475.50 : x
2. Step 2: Convert to fraction form
   119,889/258,475.50 = 258,475.50/x
3. Step 3: Cross multiply
   119,889x = 258,475.50 × 258,475.50
4. Step 4: Simplify right side
   119,889x = 66,809,584,100.25
5. Step 5: Solve for x
   x = 66,809,584,100.25/119,889
6. Step 6: Final answer
   x = 557,262.00