Finding the Third Proportional to 89,813 and 149,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,813 : 149,680.50 = 149,680.50 : x
2. Step 2: Convert to fraction form
   89,813/149,680.50 = 149,680.50/x
3. Step 3: Cross multiply
   89,813x = 149,680.50 × 149,680.50
4. Step 4: Simplify right side
   89,813x = 22,404,252,080.25
5. Step 5: Solve for x
   x = 22,404,252,080.25/89,813
6. Step 6: Final answer
   x = 249,454.45