Finding the Third Proportional to 49,389.75 and 106,677.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,389.75 : 106,677.25 = 106,677.25 : x
2. Step 2: Convert to fraction form
   49,389.75/106,677.25 = 106,677.25/x
3. Step 3: Cross multiply
   49,389.75x = 106,677.25 × 106,677.25
4. Step 4: Simplify right side
   49,389.75x = 11,380,035,667.56
5. Step 5: Solve for x
   x = 11,380,035,667.56/49,389.75
6. Step 6: Final answer
   x = 230,412.90