Finding the Third Proportional to 135,904 and 199,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,904 : 199,861.50 = 199,861.50 : x
2. Step 2: Convert to fraction form
   135,904/199,861.50 = 199,861.50/x
3. Step 3: Cross multiply
   135,904x = 199,861.50 × 199,861.50
4. Step 4: Simplify right side
   135,904x = 39,944,619,182.25
5. Step 5: Solve for x
   x = 39,944,619,182.25/135,904
6. Step 6: Final answer
   x = 293,917.91