Finding the Third Proportional to 86,258.25 and 186,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,258.25 : 186,367.50 = 186,367.50 : x
2. Step 2: Convert to fraction form
   86,258.25/186,367.50 = 186,367.50/x
3. Step 3: Cross multiply
   86,258.25x = 186,367.50 × 186,367.50
4. Step 4: Simplify right side
   86,258.25x = 34,732,845,056.25
5. Step 5: Solve for x
   x = 34,732,845,056.25/86,258.25
6. Step 6: Final answer
   x = 402,661.14