Finding the Third Proportional to 175,123 and 277,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,123 : 277,345.50 = 277,345.50 : x
2. Step 2: Convert to fraction form
   175,123/277,345.50 = 277,345.50/x
3. Step 3: Cross multiply
   175,123x = 277,345.50 × 277,345.50
4. Step 4: Simplify right side
   175,123x = 76,920,526,370.25
5. Step 5: Solve for x
   x = 76,920,526,370.25/175,123
6. Step 6: Final answer
   x = 439,237.14