Finding the Third Proportional to 102,588 and 162,308

Step by Step Solution

1. Step 1: Write the proportion equation
   102,588 : 162,308 = 162,308 : x
2. Step 2: Convert to fraction form
   102,588/162,308 = 162,308/x
3. Step 3: Cross multiply
   102,588x = 162,308 × 162,308
4. Step 4: Simplify right side
   102,588x = 26,343,886,864
5. Step 5: Solve for x
   x = 26,343,886,864/102,588
6. Step 6: Final answer
   x = 256,793.06