Finding the Third Proportional to 101,100 and 208,680

Step by Step Solution

1. Step 1: Write the proportion equation
   101,100 : 208,680 = 208,680 : x
2. Step 2: Convert to fraction form
   101,100/208,680 = 208,680/x
3. Step 3: Cross multiply
   101,100x = 208,680 × 208,680
4. Step 4: Simplify right side
   101,100x = 43,547,342,400
5. Step 5: Solve for x
   x = 43,547,342,400/101,100
6. Step 6: Final answer
   x = 430,735.34