Finding the Third Proportional to 98,076 and 212,406

Step by Step Solution

1. Step 1: Write the proportion equation
   98,076 : 212,406 = 212,406 : x
2. Step 2: Convert to fraction form
   98,076/212,406 = 212,406/x
3. Step 3: Cross multiply
   98,076x = 212,406 × 212,406
4. Step 4: Simplify right side
   98,076x = 45,116,308,836
5. Step 5: Solve for x
   x = 45,116,308,836/98,076
6. Step 6: Final answer
   x = 460,013.75