Finding the Third Proportional to 86,091 and 186,478.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,091 : 186,478.50 = 186,478.50 : x
2. Step 2: Convert to fraction form
   86,091/186,478.50 = 186,478.50/x
3. Step 3: Cross multiply
   86,091x = 186,478.50 × 186,478.50
4. Step 4: Simplify right side
   86,091x = 34,774,230,962.25
5. Step 5: Solve for x
   x = 34,774,230,962.25/86,091
6. Step 6: Final answer
   x = 403,924.11