Finding the Third Proportional to 86,599.50 and 186,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,599.50 : 186,094.50 = 186,094.50 : x
2. Step 2: Convert to fraction form
   86,599.50/186,094.50 = 186,094.50/x
3. Step 3: Cross multiply
   86,599.50x = 186,094.50 × 186,094.50
4. Step 4: Simplify right side
   86,599.50x = 34,631,162,930.25
5. Step 5: Solve for x
   x = 34,631,162,930.25/86,599.50
6. Step 6: Final answer
   x = 399,900.26