Finding the Third Proportional to 69,586 and 152,168

Step by Step Solution

1. Step 1: Write the proportion equation
   69,586 : 152,168 = 152,168 : x
2. Step 2: Convert to fraction form
   69,586/152,168 = 152,168/x
3. Step 3: Cross multiply
   69,586x = 152,168 × 152,168
4. Step 4: Simplify right side
   69,586x = 23,155,100,224
5. Step 5: Solve for x
   x = 23,155,100,224/69,586
6. Step 6: Final answer
   x = 332,755.16