Finding the Third Proportional to 86,942 and 185,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,942 : 185,367.50 = 185,367.50 : x
2. Step 2: Convert to fraction form
   86,942/185,367.50 = 185,367.50/x
3. Step 3: Cross multiply
   86,942x = 185,367.50 × 185,367.50
4. Step 4: Simplify right side
   86,942x = 34,361,110,056.25
5. Step 5: Solve for x
   x = 34,361,110,056.25/86,942
6. Step 6: Final answer
   x = 395,218.77