Finding the Third Proportional to 85,086 and 180,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,086 : 180,931.50 = 180,931.50 : x
2. Step 2: Convert to fraction form
   85,086/180,931.50 = 180,931.50/x
3. Step 3: Cross multiply
   85,086x = 180,931.50 × 180,931.50
4. Step 4: Simplify right side
   85,086x = 32,736,207,692.25
5. Step 5: Solve for x
   x = 32,736,207,692.25/85,086
6. Step 6: Final answer
   x = 384,742.59