Finding the Third Proportional to 136,144.50 and 199,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   136,144.50 : 199,978.50 = 199,978.50 : x
2. Step 2: Convert to fraction form
   136,144.50/199,978.50 = 199,978.50/x
3. Step 3: Cross multiply
   136,144.50x = 199,978.50 × 199,978.50
4. Step 4: Simplify right side
   136,144.50x = 39,991,400,462.25
5. Step 5: Solve for x
   x = 39,991,400,462.25/136,144.50
6. Step 6: Final answer
   x = 293,742.31