Finding the Third Proportional to 88,212 and 208,066

Step by Step Solution

1. Step 1: Write the proportion equation
   88,212 : 208,066 = 208,066 : x
2. Step 2: Convert to fraction form
   88,212/208,066 = 208,066/x
3. Step 3: Cross multiply
   88,212x = 208,066 × 208,066
4. Step 4: Simplify right side
   88,212x = 43,291,460,356
5. Step 5: Solve for x
   x = 43,291,460,356/88,212
6. Step 6: Final answer
   x = 490,766.11