Finding the Third Proportional to 83,782 and 180,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,782 : 180,681.50 = 180,681.50 : x
2. Step 2: Convert to fraction form
   83,782/180,681.50 = 180,681.50/x
3. Step 3: Cross multiply
   83,782x = 180,681.50 × 180,681.50
4. Step 4: Simplify right side
   83,782x = 32,645,804,442.25
5. Step 5: Solve for x
   x = 32,645,804,442.25/83,782
6. Step 6: Final answer
   x = 389,651.77