Finding the Third Proportional to 69,504 and 152,832

Step by Step Solution

1. Step 1: Write the proportion equation
   69,504 : 152,832 = 152,832 : x
2. Step 2: Convert to fraction form
   69,504/152,832 = 152,832/x
3. Step 3: Cross multiply
   69,504x = 152,832 × 152,832
4. Step 4: Simplify right side
   69,504x = 23,357,620,224
5. Step 5: Solve for x
   x = 23,357,620,224/69,504
6. Step 6: Final answer
   x = 336,061.52