Finding the Third Proportional to 69,085 and 144,426

Step by Step Solution

1. Step 1: Write the proportion equation
   69,085 : 144,426 = 144,426 : x
2. Step 2: Convert to fraction form
   69,085/144,426 = 144,426/x
3. Step 3: Cross multiply
   69,085x = 144,426 × 144,426
4. Step 4: Simplify right side
   69,085x = 20,858,869,476
5. Step 5: Solve for x
   x = 20,858,869,476/69,085
6. Step 6: Final answer
   x = 301,930.51