Finding the Third Proportional to 119,934 and 277,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,934 : 277,681.50 = 277,681.50 : x
2. Step 2: Convert to fraction form
   119,934/277,681.50 = 277,681.50/x
3. Step 3: Cross multiply
   119,934x = 277,681.50 × 277,681.50
4. Step 4: Simplify right side
   119,934x = 77,107,015,442.25
5. Step 5: Solve for x
   x = 77,107,015,442.25/119,934
6. Step 6: Final answer
   x = 642,912.06