Finding the Third Proportional to 65,293 and 142,889

Step by Step Solution

1. Step 1: Write the proportion equation
   65,293 : 142,889 = 142,889 : x
2. Step 2: Convert to fraction form
   65,293/142,889 = 142,889/x
3. Step 3: Cross multiply
   65,293x = 142,889 × 142,889
4. Step 4: Simplify right side
   65,293x = 20,417,266,321
5. Step 5: Solve for x
   x = 20,417,266,321/65,293
6. Step 6: Final answer
   x = 312,702.22