Finding the Third Proportional to 120,968 and 158,124

Step by Step Solution

1. Step 1: Write the proportion equation
   120,968 : 158,124 = 158,124 : x
2. Step 2: Convert to fraction form
   120,968/158,124 = 158,124/x
3. Step 3: Cross multiply
   120,968x = 158,124 × 158,124
4. Step 4: Simplify right side
   120,968x = 25,003,199,376
5. Step 5: Solve for x
   x = 25,003,199,376/120,968
6. Step 6: Final answer
   x = 206,692.67