Finding the Third Proportional to 116,640 and 158,271.75

Step by Step Solution

1. Step 1: Write the proportion equation
   116,640 : 158,271.75 = 158,271.75 : x
2. Step 2: Convert to fraction form
   116,640/158,271.75 = 158,271.75/x
3. Step 3: Cross multiply
   116,640x = 158,271.75 × 158,271.75
4. Step 4: Simplify right side
   116,640x = 25,049,946,848.06
5. Step 5: Solve for x
   x = 25,049,946,848.06/116,640
6. Step 6: Final answer
   x = 214,762.92