Finding the Third Proportional to 119,652.50 and 261,038

Step by Step Solution

1. Step 1: Write the proportion equation
   119,652.50 : 261,038 = 261,038 : x
2. Step 2: Convert to fraction form
   119,652.50/261,038 = 261,038/x
3. Step 3: Cross multiply
   119,652.50x = 261,038 × 261,038
4. Step 4: Simplify right side
   119,652.50x = 68,140,837,444
5. Step 5: Solve for x
   x = 68,140,837,444/119,652.50
6. Step 6: Final answer
   x = 569,489.46