Finding the Third Proportional to 152,678 and 230,688

Step by Step Solution

1. Step 1: Write the proportion equation
   152,678 : 230,688 = 230,688 : x
2. Step 2: Convert to fraction form
   152,678/230,688 = 230,688/x
3. Step 3: Cross multiply
   152,678x = 230,688 × 230,688
4. Step 4: Simplify right side
   152,678x = 53,216,953,344
5. Step 5: Solve for x
   x = 53,216,953,344/152,678
6. Step 6: Final answer
   x = 348,556.79