Finding the Third Proportional to 135,898 and 199,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,898 : 199,852.50 = 199,852.50 : x
2. Step 2: Convert to fraction form
   135,898/199,852.50 = 199,852.50/x
3. Step 3: Cross multiply
   135,898x = 199,852.50 × 199,852.50
4. Step 4: Simplify right side
   135,898x = 39,941,021,756.25
5. Step 5: Solve for x
   x = 39,941,021,756.25/135,898
6. Step 6: Final answer
   x = 293,904.41