Finding the Third Proportional to 179,454 and 278,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   179,454 : 278,662.50 = 278,662.50 : x
2. Step 2: Convert to fraction form
   179,454/278,662.50 = 278,662.50/x
3. Step 3: Cross multiply
   179,454x = 278,662.50 × 278,662.50
4. Step 4: Simplify right side
   179,454x = 77,652,788,906.25
5. Step 5: Solve for x
   x = 77,652,788,906.25/179,454
6. Step 6: Final answer
   x = 432,716.96