Finding the Third Proportional to 64,196 and 100,180

Step by Step Solution

1. Step 1: Write the proportion equation
   64,196 : 100,180 = 100,180 : x
2. Step 2: Convert to fraction form
   64,196/100,180 = 100,180/x
3. Step 3: Cross multiply
   64,196x = 100,180 × 100,180
4. Step 4: Simplify right side
   64,196x = 10,036,032,400
5. Step 5: Solve for x
   x = 10,036,032,400/64,196
6. Step 6: Final answer
   x = 156,334.23