Finding the Third Proportional to 69,069 and 152,658

Step by Step Solution

1. Step 1: Write the proportion equation
   69,069 : 152,658 = 152,658 : x
2. Step 2: Convert to fraction form
   69,069/152,658 = 152,658/x
3. Step 3: Cross multiply
   69,069x = 152,658 × 152,658
4. Step 4: Simplify right side
   69,069x = 23,304,464,964
5. Step 5: Solve for x
   x = 23,304,464,964/69,069
6. Step 6: Final answer
   x = 337,408.46