Finding the Third Proportional to 69,638 and 142,964

Step by Step Solution

1. Step 1: Write the proportion equation
   69,638 : 142,964 = 142,964 : x
2. Step 2: Convert to fraction form
   69,638/142,964 = 142,964/x
3. Step 3: Cross multiply
   69,638x = 142,964 × 142,964
4. Step 4: Simplify right side
   69,638x = 20,438,705,296
5. Step 5: Solve for x
   x = 20,438,705,296/69,638
6. Step 6: Final answer
   x = 293,499.31