Finding the Third Proportional to 175,978.50 and 384,231

Step by Step Solution

1. Step 1: Write the proportion equation
   175,978.50 : 384,231 = 384,231 : x
2. Step 2: Convert to fraction form
   175,978.50/384,231 = 384,231/x
3. Step 3: Cross multiply
   175,978.50x = 384,231 × 384,231
4. Step 4: Simplify right side
   175,978.50x = 147,633,461,361
5. Step 5: Solve for x
   x = 147,633,461,361/175,978.50
6. Step 6: Final answer
   x = 838,928.97