Finding the Third Proportional to 73,181 and 152,104

Step by Step Solution

1. Step 1: Write the proportion equation
   73,181 : 152,104 = 152,104 : x
2. Step 2: Convert to fraction form
   73,181/152,104 = 152,104/x
3. Step 3: Cross multiply
   73,181x = 152,104 × 152,104
4. Step 4: Simplify right side
   73,181x = 23,135,626,816
5. Step 5: Solve for x
   x = 23,135,626,816/73,181
6. Step 6: Final answer
   x = 316,142.53