Finding the Third Proportional to 49,507 and 116,807

Step by Step Solution

1. Step 1: Write the proportion equation
   49,507 : 116,807 = 116,807 : x
2. Step 2: Convert to fraction form
   49,507/116,807 = 116,807/x
3. Step 3: Cross multiply
   49,507x = 116,807 × 116,807
4. Step 4: Simplify right side
   49,507x = 13,643,875,249
5. Step 5: Solve for x
   x = 13,643,875,249/49,507
6. Step 6: Final answer
   x = 275,594.87