Finding the Third Proportional to 174,656.25 and 277,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,656.25 : 277,141.50 = 277,141.50 : x
2. Step 2: Convert to fraction form
   174,656.25/277,141.50 = 277,141.50/x
3. Step 3: Cross multiply
   174,656.25x = 277,141.50 × 277,141.50
4. Step 4: Simplify right side
   174,656.25x = 76,807,411,022.25
5. Step 5: Solve for x
   x = 76,807,411,022.25/174,656.25
6. Step 6: Final answer
   x = 439,763.31