Finding the Third Proportional to 55,975 and 152,088

Step by Step Solution

1. Step 1: Write the proportion equation
   55,975 : 152,088 = 152,088 : x
2. Step 2: Convert to fraction form
   55,975/152,088 = 152,088/x
3. Step 3: Cross multiply
   55,975x = 152,088 × 152,088
4. Step 4: Simplify right side
   55,975x = 23,130,759,744
5. Step 5: Solve for x
   x = 23,130,759,744/55,975
6. Step 6: Final answer
   x = 413,233.76