Finding the Third Proportional to 83,556 and 130,416

Step by Step Solution

1. Step 1: Write the proportion equation
   83,556 : 130,416 = 130,416 : x
2. Step 2: Convert to fraction form
   83,556/130,416 = 130,416/x
3. Step 3: Cross multiply
   83,556x = 130,416 × 130,416
4. Step 4: Simplify right side
   83,556x = 17,008,333,056
5. Step 5: Solve for x
   x = 17,008,333,056/83,556
6. Step 6: Final answer
   x = 203,556.09