Finding the Third Proportional to 98,200 and 208,076

Step by Step Solution

1. Step 1: Write the proportion equation
   98,200 : 208,076 = 208,076 : x
2. Step 2: Convert to fraction form
   98,200/208,076 = 208,076/x
3. Step 3: Cross multiply
   98,200x = 208,076 × 208,076
4. Step 4: Simplify right side
   98,200x = 43,295,621,776
5. Step 5: Solve for x
   x = 43,295,621,776/98,200
6. Step 6: Final answer
   x = 440,892.28