Finding the Third Proportional to 86,994 and 185,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,994 : 185,381.50 = 185,381.50 : x
2. Step 2: Convert to fraction form
   86,994/185,381.50 = 185,381.50/x
3. Step 3: Cross multiply
   86,994x = 185,381.50 × 185,381.50
4. Step 4: Simplify right side
   86,994x = 34,366,300,542.25
5. Step 5: Solve for x
   x = 34,366,300,542.25/86,994
6. Step 6: Final answer
   x = 395,042.19