Finding the Third Proportional to 45,980 and 98,522

Step by Step Solution

1. Step 1: Write the proportion equation
   45,980 : 98,522 = 98,522 : x
2. Step 2: Convert to fraction form
   45,980/98,522 = 98,522/x
3. Step 3: Cross multiply
   45,980x = 98,522 × 98,522
4. Step 4: Simplify right side
   45,980x = 9,706,584,484
5. Step 5: Solve for x
   x = 9,706,584,484/45,980
6. Step 6: Final answer
   x = 211,104.49