Finding the Third Proportional to 49,516 and 116,774

Step by Step Solution

1. Step 1: Write the proportion equation
   49,516 : 116,774 = 116,774 : x
2. Step 2: Convert to fraction form
   49,516/116,774 = 116,774/x
3. Step 3: Cross multiply
   49,516x = 116,774 × 116,774
4. Step 4: Simplify right side
   49,516x = 13,636,167,076
5. Step 5: Solve for x
   x = 13,636,167,076/49,516
6. Step 6: Final answer
   x = 275,389.11