Finding the Third Proportional to 139.63 and 292.50

Step by Step Solution

1. Step 1: Write the proportion equation
   139.63 : 292.50 = 292.50 : x
2. Step 2: Convert to fraction form
   139.63/292.50 = 292.50/x
3. Step 3: Cross multiply
   139.63x = 292.50 × 292.50
4. Step 4: Simplify right side
   139.63x = 85,556.25
5. Step 5: Solve for x
   x = 85,556.25/139.63
6. Step 6: Final answer
   x = 612.76