Finding the Third Proportional to 101,436 and 214,200

Step by Step Solution

1. Step 1: Write the proportion equation
   101,436 : 214,200 = 214,200 : x
2. Step 2: Convert to fraction form
   101,436/214,200 = 214,200/x
3. Step 3: Cross multiply
   101,436x = 214,200 × 214,200
4. Step 4: Simplify right side
   101,436x = 45,881,640,000
5. Step 5: Solve for x
   x = 45,881,640,000/101,436
6. Step 6: Final answer
   x = 452,321.07