Finding the Third Proportional to 127.25 and 312.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127.25 : 312.50 = 312.50 : x
2. Step 2: Convert to fraction form
   127.25/312.50 = 312.50/x
3. Step 3: Cross multiply
   127.25x = 312.50 × 312.50
4. Step 4: Simplify right side
   127.25x = 97,656.25
5. Step 5: Solve for x
   x = 97,656.25/127.25
6. Step 6: Final answer
   x = 767.44