Finding the Third Proportional to 89,226 and 122,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,226 : 122,359.50 = 122,359.50 : x
2. Step 2: Convert to fraction form
   89,226/122,359.50 = 122,359.50/x
3. Step 3: Cross multiply
   89,226x = 122,359.50 × 122,359.50
4. Step 4: Simplify right side
   89,226x = 14,971,847,240.25
5. Step 5: Solve for x
   x = 14,971,847,240.25/89,226
6. Step 6: Final answer
   x = 167,796.91