Finding the Third Proportional to 71,846 and 155,164

Step by Step Solution

1. Step 1: Write the proportion equation
   71,846 : 155,164 = 155,164 : x
2. Step 2: Convert to fraction form
   71,846/155,164 = 155,164/x
3. Step 3: Cross multiply
   71,846x = 155,164 × 155,164
4. Step 4: Simplify right side
   71,846x = 24,075,866,896
5. Step 5: Solve for x
   x = 24,075,866,896/71,846
6. Step 6: Final answer
   x = 335,103.79