Finding the Third Proportional to 180,133.50 and 391,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   180,133.50 : 391,978.50 = 391,978.50 : x
2. Step 2: Convert to fraction form
   180,133.50/391,978.50 = 391,978.50/x
3. Step 3: Cross multiply
   180,133.50x = 391,978.50 × 391,978.50
4. Step 4: Simplify right side
   180,133.50x = 153,647,144,462.25
5. Step 5: Solve for x
   x = 153,647,144,462.25/180,133.50
6. Step 6: Final answer
   x = 852,962.63