Finding the Third Proportional to 101,179.50 and 146,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,179.50 : 146,175.50 = 146,175.50 : x
2. Step 2: Convert to fraction form
   101,179.50/146,175.50 = 146,175.50/x
3. Step 3: Cross multiply
   101,179.50x = 146,175.50 × 146,175.50
4. Step 4: Simplify right side
   101,179.50x = 21,367,276,800.25
5. Step 5: Solve for x
   x = 21,367,276,800.25/101,179.50
6. Step 6: Final answer
   x = 211,181.88