Finding the Third Proportional to 101,529 and 148,830

Step by Step Solution

1. Step 1: Write the proportion equation
   101,529 : 148,830 = 148,830 : x
2. Step 2: Convert to fraction form
   101,529/148,830 = 148,830/x
3. Step 3: Cross multiply
   101,529x = 148,830 × 148,830
4. Step 4: Simplify right side
   101,529x = 22,150,368,900
5. Step 5: Solve for x
   x = 22,150,368,900/101,529
6. Step 6: Final answer
   x = 218,167.90