Finding the Third Proportional to 146,139 and 178,021.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,139 : 178,021.50 = 178,021.50 : x
2. Step 2: Convert to fraction form
   146,139/178,021.50 = 178,021.50/x
3. Step 3: Cross multiply
   146,139x = 178,021.50 × 178,021.50
4. Step 4: Simplify right side
   146,139x = 31,691,654,462.25
5. Step 5: Solve for x
   x = 31,691,654,462.25/146,139
6. Step 6: Final answer
   x = 216,859.66