Finding the Third Proportional to 65,179 and 142,813

Step by Step Solution

1. Step 1: Write the proportion equation
   65,179 : 142,813 = 142,813 : x
2. Step 2: Convert to fraction form
   65,179/142,813 = 142,813/x
3. Step 3: Cross multiply
   65,179x = 142,813 × 142,813
4. Step 4: Simplify right side
   65,179x = 20,395,552,969
5. Step 5: Solve for x
   x = 20,395,552,969/65,179
6. Step 6: Final answer
   x = 312,916.02