Finding the Third Proportional to 45,982 and 98,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,982 : 98,523.50 = 98,523.50 : x
2. Step 2: Convert to fraction form
   45,982/98,523.50 = 98,523.50/x
3. Step 3: Cross multiply
   45,982x = 98,523.50 × 98,523.50
4. Step 4: Simplify right side
   45,982x = 9,706,880,052.25
5. Step 5: Solve for x
   x = 9,706,880,052.25/45,982
6. Step 6: Final answer
   x = 211,101.74