Finding the Third Proportional to 120,178.50 and 186,828

Step by Step Solution

1. Step 1: Write the proportion equation
   120,178.50 : 186,828 = 186,828 : x
2. Step 2: Convert to fraction form
   120,178.50/186,828 = 186,828/x
3. Step 3: Cross multiply
   120,178.50x = 186,828 × 186,828
4. Step 4: Simplify right side
   120,178.50x = 34,904,701,584
5. Step 5: Solve for x
   x = 34,904,701,584/120,178.50
6. Step 6: Final answer
   x = 290,440.48