Finding the Third Proportional to 49,407 and 116,583

Step by Step Solution

1. Step 1: Write the proportion equation
   49,407 : 116,583 = 116,583 : x
2. Step 2: Convert to fraction form
   49,407/116,583 = 116,583/x
3. Step 3: Cross multiply
   49,407x = 116,583 × 116,583
4. Step 4: Simplify right side
   49,407x = 13,591,595,889
5. Step 5: Solve for x
   x = 13,591,595,889/49,407
6. Step 6: Final answer
   x = 275,094.54