Finding the Third Proportional to 85,680 and 130,014

Step by Step Solution

1. Step 1: Write the proportion equation
   85,680 : 130,014 = 130,014 : x
2. Step 2: Convert to fraction form
   85,680/130,014 = 130,014/x
3. Step 3: Cross multiply
   85,680x = 130,014 × 130,014
4. Step 4: Simplify right side
   85,680x = 16,903,640,196
5. Step 5: Solve for x
   x = 16,903,640,196/85,680
6. Step 6: Final answer
   x = 197,288.05