Finding the Third Proportional to 189,261 and 277,267.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,261 : 277,267.50 = 277,267.50 : x
2. Step 2: Convert to fraction form
   189,261/277,267.50 = 277,267.50/x
3. Step 3: Cross multiply
   189,261x = 277,267.50 × 277,267.50
4. Step 4: Simplify right side
   189,261x = 76,877,266,556.25
5. Step 5: Solve for x
   x = 76,877,266,556.25/189,261
6. Step 6: Final answer
   x = 406,197.09