Finding the Third Proportional to 101,226 and 148,158

Step by Step Solution

1. Step 1: Write the proportion equation
   101,226 : 148,158 = 148,158 : x
2. Step 2: Convert to fraction form
   101,226/148,158 = 148,158/x
3. Step 3: Cross multiply
   101,226x = 148,158 × 148,158
4. Step 4: Simplify right side
   101,226x = 21,950,792,964
5. Step 5: Solve for x
   x = 21,950,792,964/101,226
6. Step 6: Final answer
   x = 216,849.36