Finding the Third Proportional to 135,888 and 199,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,888 : 199,834.50 = 199,834.50 : x
2. Step 2: Convert to fraction form
   135,888/199,834.50 = 199,834.50/x
3. Step 3: Cross multiply
   135,888x = 199,834.50 × 199,834.50
4. Step 4: Simplify right side
   135,888x = 39,933,827,390.25
5. Step 5: Solve for x
   x = 39,933,827,390.25/135,888
6. Step 6: Final answer
   x = 293,873.10