Finding the Third Proportional to 119,862.50 and 258,405

Step by Step Solution

1. Step 1: Write the proportion equation
   119,862.50 : 258,405 = 258,405 : x
2. Step 2: Convert to fraction form
   119,862.50/258,405 = 258,405/x
3. Step 3: Cross multiply
   119,862.50x = 258,405 × 258,405
4. Step 4: Simplify right side
   119,862.50x = 66,773,144,025
5. Step 5: Solve for x
   x = 66,773,144,025/119,862.50
6. Step 6: Final answer
   x = 557,081.19