Finding the Third Proportional to 135,190 and 195,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,190 : 195,814.50 = 195,814.50 : x
2. Step 2: Convert to fraction form
   135,190/195,814.50 = 195,814.50/x
3. Step 3: Cross multiply
   135,190x = 195,814.50 × 195,814.50
4. Step 4: Simplify right side
   135,190x = 38,343,318,410.25
5. Step 5: Solve for x
   x = 38,343,318,410.25/135,190
6. Step 6: Final answer
   x = 283,625.40