Finding the Third Proportional to 89,842.50 and 149,742

Step by Step Solution

1. Step 1: Write the proportion equation
   89,842.50 : 149,742 = 149,742 : x
2. Step 2: Convert to fraction form
   89,842.50/149,742 = 149,742/x
3. Step 3: Cross multiply
   89,842.50x = 149,742 × 149,742
4. Step 4: Simplify right side
   89,842.50x = 22,422,666,564
5. Step 5: Solve for x
   x = 22,422,666,564/89,842.50
6. Step 6: Final answer
   x = 249,577.50