Finding the Third Proportional to 127,677 and 187,984.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,677 : 187,984.50 = 187,984.50 : x
2. Step 2: Convert to fraction form
   127,677/187,984.50 = 187,984.50/x
3. Step 3: Cross multiply
   127,677x = 187,984.50 × 187,984.50
4. Step 4: Simplify right side
   127,677x = 35,338,172,240.25
5. Step 5: Solve for x
   x = 35,338,172,240.25/127,677
6. Step 6: Final answer
   x = 276,777.90