Finding the Third Proportional to 105,280 and 154,656

Step by Step Solution

1. Step 1: Write the proportion equation
   105,280 : 154,656 = 154,656 : x
2. Step 2: Convert to fraction form
   105,280/154,656 = 154,656/x
3. Step 3: Cross multiply
   105,280x = 154,656 × 154,656
4. Step 4: Simplify right side
   105,280x = 23,918,478,336
5. Step 5: Solve for x
   x = 23,918,478,336/105,280
6. Step 6: Final answer
   x = 227,189.19