Finding the Third Proportional to 139.50 and 314.63

Step by Step Solution

1. Step 1: Write the proportion equation
   139.50 : 314.63 = 314.63 : x
2. Step 2: Convert to fraction form
   139.50/314.63 = 314.63/x
3. Step 3: Cross multiply
   139.50x = 314.63 × 314.63
4. Step 4: Simplify right side
   139.50x = 98,988.89
5. Step 5: Solve for x
   x = 98,988.89/139.50
6. Step 6: Final answer
   x = 709.60