Finding the Third Proportional to 105,725 and 155,667

Step by Step Solution

1. Step 1: Write the proportion equation
   105,725 : 155,667 = 155,667 : x
2. Step 2: Convert to fraction form
   105,725/155,667 = 155,667/x
3. Step 3: Cross multiply
   105,725x = 155,667 × 155,667
4. Step 4: Simplify right side
   105,725x = 24,232,214,889
5. Step 5: Solve for x
   x = 24,232,214,889/105,725
6. Step 6: Final answer
   x = 229,200.42