Finding the Third Proportional to 71,169 and 152,888

Step by Step Solution

1. Step 1: Write the proportion equation
   71,169 : 152,888 = 152,888 : x
2. Step 2: Convert to fraction form
   71,169/152,888 = 152,888/x
3. Step 3: Cross multiply
   71,169x = 152,888 × 152,888
4. Step 4: Simplify right side
   71,169x = 23,374,740,544
5. Step 5: Solve for x
   x = 23,374,740,544/71,169
6. Step 6: Final answer
   x = 328,439.92