Finding the Third Proportional to 135,153 and 194,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,153 : 194,683.50 = 194,683.50 : x
2. Step 2: Convert to fraction form
   135,153/194,683.50 = 194,683.50/x
3. Step 3: Cross multiply
   135,153x = 194,683.50 × 194,683.50
4. Step 4: Simplify right side
   135,153x = 37,901,665,172.25
5. Step 5: Solve for x
   x = 37,901,665,172.25/135,153
6. Step 6: Final answer
   x = 280,435.25