Finding the Third Proportional to 69,532 and 152,884

Step by Step Solution

1. Step 1: Write the proportion equation
   69,532 : 152,884 = 152,884 : x
2. Step 2: Convert to fraction form
   69,532/152,884 = 152,884/x
3. Step 3: Cross multiply
   69,532x = 152,884 × 152,884
4. Step 4: Simplify right side
   69,532x = 23,373,517,456
5. Step 5: Solve for x
   x = 23,373,517,456/69,532
6. Step 6: Final answer
   x = 336,154.83