Finding the Third Proportional to 86,085 and 186,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,085 : 186,466.50 = 186,466.50 : x
2. Step 2: Convert to fraction form
   86,085/186,466.50 = 186,466.50/x
3. Step 3: Cross multiply
   86,085x = 186,466.50 × 186,466.50
4. Step 4: Simplify right side
   86,085x = 34,769,755,622.25
5. Step 5: Solve for x
   x = 34,769,755,622.25/86,085
6. Step 6: Final answer
   x = 403,900.28