Finding the Third Proportional to 136,741.50 and 206,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   136,741.50 : 206,998.50 = 206,998.50 : x
2. Step 2: Convert to fraction form
   136,741.50/206,998.50 = 206,998.50/x
3. Step 3: Cross multiply
   136,741.50x = 206,998.50 × 206,998.50
4. Step 4: Simplify right side
   136,741.50x = 42,848,379,002.25
5. Step 5: Solve for x
   x = 42,848,379,002.25/136,741.50
6. Step 6: Final answer
   x = 313,353.14