Finding the Third Proportional to 136,494 and 209,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   136,494 : 209,089.50 = 209,089.50 : x
2. Step 2: Convert to fraction form
   136,494/209,089.50 = 209,089.50/x
3. Step 3: Cross multiply
   136,494x = 209,089.50 × 209,089.50
4. Step 4: Simplify right side
   136,494x = 43,718,419,010.25
5. Step 5: Solve for x
   x = 43,718,419,010.25/136,494
6. Step 6: Final answer
   x = 320,295.54