Finding the Third Proportional to 82,188 and 130,640

Step by Step Solution

1. Step 1: Write the proportion equation
   82,188 : 130,640 = 130,640 : x
2. Step 2: Convert to fraction form
   82,188/130,640 = 130,640/x
3. Step 3: Cross multiply
   82,188x = 130,640 × 130,640
4. Step 4: Simplify right side
   82,188x = 17,066,809,600
5. Step 5: Solve for x
   x = 17,066,809,600/82,188
6. Step 6: Final answer
   x = 207,655.74