Finding the Third Proportional to 47,196 and 102,978

Step by Step Solution

1. Step 1: Write the proportion equation
   47,196 : 102,978 = 102,978 : x
2. Step 2: Convert to fraction form
   47,196/102,978 = 102,978/x
3. Step 3: Cross multiply
   47,196x = 102,978 × 102,978
4. Step 4: Simplify right side
   47,196x = 10,604,468,484
5. Step 5: Solve for x
   x = 10,604,468,484/47,196
6. Step 6: Final answer
   x = 224,689.98