Finding the Third Proportional to 86,607 and 186,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,607 : 186,106.50 = 186,106.50 : x
2. Step 2: Convert to fraction form
   86,607/186,106.50 = 186,106.50/x
3. Step 3: Cross multiply
   86,607x = 186,106.50 × 186,106.50
4. Step 4: Simplify right side
   86,607x = 34,635,629,342.25
5. Step 5: Solve for x
   x = 34,635,629,342.25/86,607
6. Step 6: Final answer
   x = 399,917.20