Finding the Third Proportional to 98,767 and 212,978

Step by Step Solution

1. Step 1: Write the proportion equation
   98,767 : 212,978 = 212,978 : x
2. Step 2: Convert to fraction form
   98,767/212,978 = 212,978/x
3. Step 3: Cross multiply
   98,767x = 212,978 × 212,978
4. Step 4: Simplify right side
   98,767x = 45,359,628,484
5. Step 5: Solve for x
   x = 45,359,628,484/98,767
6. Step 6: Final answer
   x = 459,258.95