Finding the Third Proportional to 77,616 and 123,096

Step by Step Solution

1. Step 1: Write the proportion equation
   77,616 : 123,096 = 123,096 : x
2. Step 2: Convert to fraction form
   77,616/123,096 = 123,096/x
3. Step 3: Cross multiply
   77,616x = 123,096 × 123,096
4. Step 4: Simplify right side
   77,616x = 15,152,625,216
5. Step 5: Solve for x
   x = 15,152,625,216/77,616
6. Step 6: Final answer
   x = 195,225.54