Finding the Third Proportional to 178,713 and 277,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,713 : 277,870.50 = 277,870.50 : x
2. Step 2: Convert to fraction form
   178,713/277,870.50 = 277,870.50/x
3. Step 3: Cross multiply
   178,713x = 277,870.50 × 277,870.50
4. Step 4: Simplify right side
   178,713x = 77,212,014,770.25
5. Step 5: Solve for x
   x = 77,212,014,770.25/178,713
6. Step 6: Final answer
   x = 432,044.76