Finding the Third Proportional to 101,178 and 146,172

Step by Step Solution

1. Step 1: Write the proportion equation
   101,178 : 146,172 = 146,172 : x
2. Step 2: Convert to fraction form
   101,178/146,172 = 146,172/x
3. Step 3: Cross multiply
   101,178x = 146,172 × 146,172
4. Step 4: Simplify right side
   101,178x = 21,366,253,584
5. Step 5: Solve for x
   x = 21,366,253,584/101,178
6. Step 6: Final answer
   x = 211,174.90