Finding the Third Proportional to 101,308 and 218,196

Step by Step Solution

1. Step 1: Write the proportion equation
   101,308 : 218,196 = 218,196 : x
2. Step 2: Convert to fraction form
   101,308/218,196 = 218,196/x
3. Step 3: Cross multiply
   101,308x = 218,196 × 218,196
4. Step 4: Simplify right side
   101,308x = 47,609,494,416
5. Step 5: Solve for x
   x = 47,609,494,416/101,308
6. Step 6: Final answer
   x = 469,948.02