Finding the Third Proportional to 85,641 and 180,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,641 : 180,514.50 = 180,514.50 : x
2. Step 2: Convert to fraction form
   85,641/180,514.50 = 180,514.50/x
3. Step 3: Cross multiply
   85,641x = 180,514.50 × 180,514.50
4. Step 4: Simplify right side
   85,641x = 32,585,484,710.25
5. Step 5: Solve for x
   x = 32,585,484,710.25/85,641
6. Step 6: Final answer
   x = 380,489.31