Finding the Third Proportional to 141,556 and 333,688

Step by Step Solution

1. Step 1: Write the proportion equation
   141,556 : 333,688 = 333,688 : x
2. Step 2: Convert to fraction form
   141,556/333,688 = 333,688/x
3. Step 3: Cross multiply
   141,556x = 333,688 × 333,688
4. Step 4: Simplify right side
   141,556x = 111,347,681,344
5. Step 5: Solve for x
   x = 111,347,681,344/141,556
6. Step 6: Final answer
   x = 786,598.10