Finding the Third Proportional to 89,816 and 149,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,816 : 149,685.50 = 149,685.50 : x
2. Step 2: Convert to fraction form
   89,816/149,685.50 = 149,685.50/x
3. Step 3: Cross multiply
   89,816x = 149,685.50 × 149,685.50
4. Step 4: Simplify right side
   89,816x = 22,405,748,910.25
5. Step 5: Solve for x
   x = 22,405,748,910.25/89,816
6. Step 6: Final answer
   x = 249,462.78