Finding the Third Proportional to 69,426 and 152,505

Step by Step Solution

1. Step 1: Write the proportion equation
   69,426 : 152,505 = 152,505 : x
2. Step 2: Convert to fraction form
   69,426/152,505 = 152,505/x
3. Step 3: Cross multiply
   69,426x = 152,505 × 152,505
4. Step 4: Simplify right side
   69,426x = 23,257,775,025
5. Step 5: Solve for x
   x = 23,257,775,025/69,426
6. Step 6: Final answer
   x = 335,000.94