Finding the Third Proportional to 127,630 and 182,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,630 : 182,683.50 = 182,683.50 : x
2. Step 2: Convert to fraction form
   127,630/182,683.50 = 182,683.50/x
3. Step 3: Cross multiply
   127,630x = 182,683.50 × 182,683.50
4. Step 4: Simplify right side
   127,630x = 33,373,261,172.25
5. Step 5: Solve for x
   x = 33,373,261,172.25/127,630
6. Step 6: Final answer
   x = 261,484.46