Finding the Third Proportional to 136,500 and 209,098

Step by Step Solution

1. Step 1: Write the proportion equation
   136,500 : 209,098 = 209,098 : x
2. Step 2: Convert to fraction form
   136,500/209,098 = 209,098/x
3. Step 3: Cross multiply
   136,500x = 209,098 × 209,098
4. Step 4: Simplify right side
   136,500x = 43,721,973,604
5. Step 5: Solve for x
   x = 43,721,973,604/136,500
6. Step 6: Final answer
   x = 320,307.50