Finding the Third Proportional to 89,619 and 137,561.63

Step by Step Solution

1. Step 1: Write the proportion equation
   89,619 : 137,561.63 = 137,561.63 : x
2. Step 2: Convert to fraction form
   89,619/137,561.63 = 137,561.63/x
3. Step 3: Cross multiply
   89,619x = 137,561.63 × 137,561.63
4. Step 4: Simplify right side
   89,619x = 18,923,200,672.64
5. Step 5: Solve for x
   x = 18,923,200,672.64/89,619
6. Step 6: Final answer
   x = 211,151.66