Finding the Third Proportional to 172,835 and 357,667

Step by Step Solution

1. Step 1: Write the proportion equation
   172,835 : 357,667 = 357,667 : x
2. Step 2: Convert to fraction form
   172,835/357,667 = 357,667/x
3. Step 3: Cross multiply
   172,835x = 357,667 × 357,667
4. Step 4: Simplify right side
   172,835x = 127,925,682,889
5. Step 5: Solve for x
   x = 127,925,682,889/172,835
6. Step 6: Final answer
   x = 740,160.75