Finding the Third Proportional to 69,546 and 152,912

Step by Step Solution

1. Step 1: Write the proportion equation
   69,546 : 152,912 = 152,912 : x
2. Step 2: Convert to fraction form
   69,546/152,912 = 152,912/x
3. Step 3: Cross multiply
   69,546x = 152,912 × 152,912
4. Step 4: Simplify right side
   69,546x = 23,382,079,744
5. Step 5: Solve for x
   x = 23,382,079,744/69,546
6. Step 6: Final answer
   x = 336,210.27