Finding the Third Proportional to 88,209 and 208,062

Step by Step Solution

1. Step 1: Write the proportion equation
   88,209 : 208,062 = 208,062 : x
2. Step 2: Convert to fraction form
   88,209/208,062 = 208,062/x
3. Step 3: Cross multiply
   88,209x = 208,062 × 208,062
4. Step 4: Simplify right side
   88,209x = 43,289,795,844
5. Step 5: Solve for x
   x = 43,289,795,844/88,209
6. Step 6: Final answer
   x = 490,763.93