Finding the Third Proportional to 98,166 and 212,004

Step by Step Solution

1. Step 1: Write the proportion equation
   98,166 : 212,004 = 212,004 : x
2. Step 2: Convert to fraction form
   98,166/212,004 = 212,004/x
3. Step 3: Cross multiply
   98,166x = 212,004 × 212,004
4. Step 4: Simplify right side
   98,166x = 44,945,696,016
5. Step 5: Solve for x
   x = 44,945,696,016/98,166
6. Step 6: Final answer
   x = 457,854.00