Finding the Third Proportional to 178,623 and 276,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,623 : 276,457.50 = 276,457.50 : x
2. Step 2: Convert to fraction form
   178,623/276,457.50 = 276,457.50/x
3. Step 3: Cross multiply
   178,623x = 276,457.50 × 276,457.50
4. Step 4: Simplify right side
   178,623x = 76,428,749,306.25
5. Step 5: Solve for x
   x = 76,428,749,306.25/178,623
6. Step 6: Final answer
   x = 427,877.43