Finding the Third Proportional to 64,848 and 100,196

Step by Step Solution

1. Step 1: Write the proportion equation
   64,848 : 100,196 = 100,196 : x
2. Step 2: Convert to fraction form
   64,848/100,196 = 100,196/x
3. Step 3: Cross multiply
   64,848x = 100,196 × 100,196
4. Step 4: Simplify right side
   64,848x = 10,039,238,416
5. Step 5: Solve for x
   x = 10,039,238,416/64,848
6. Step 6: Final answer
   x = 154,811.84