Finding the Third Proportional to 98,982 and 159,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,982 : 159,367.50 = 159,367.50 : x
2. Step 2: Convert to fraction form
   98,982/159,367.50 = 159,367.50/x
3. Step 3: Cross multiply
   98,982x = 159,367.50 × 159,367.50
4. Step 4: Simplify right side
   98,982x = 25,398,000,056.25
5. Step 5: Solve for x
   x = 25,398,000,056.25/98,982
6. Step 6: Final answer
   x = 256,592.11