Finding the Third Proportional to 77,836 and 123,270

Step by Step Solution

1. Step 1: Write the proportion equation
   77,836 : 123,270 = 123,270 : x
2. Step 2: Convert to fraction form
   77,836/123,270 = 123,270/x
3. Step 3: Cross multiply
   77,836x = 123,270 × 123,270
4. Step 4: Simplify right side
   77,836x = 15,195,492,900
5. Step 5: Solve for x
   x = 15,195,492,900/77,836
6. Step 6: Final answer
   x = 195,224.48