Finding the Third Proportional to 89,845.50 and 149,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,845.50 : 149,746.50 = 149,746.50 : x
2. Step 2: Convert to fraction form
   89,845.50/149,746.50 = 149,746.50/x
3. Step 3: Cross multiply
   89,845.50x = 149,746.50 × 149,746.50
4. Step 4: Simplify right side
   89,845.50x = 22,424,014,262.25
5. Step 5: Solve for x
   x = 22,424,014,262.25/89,845.50
6. Step 6: Final answer
   x = 249,584.17