Finding the Third Proportional to 48,289 and 105,146

Step by Step Solution

1. Step 1: Write the proportion equation
   48,289 : 105,146 = 105,146 : x
2. Step 2: Convert to fraction form
   48,289/105,146 = 105,146/x
3. Step 3: Cross multiply
   48,289x = 105,146 × 105,146
4. Step 4: Simplify right side
   48,289x = 11,055,681,316
5. Step 5: Solve for x
   x = 11,055,681,316/48,289
6. Step 6: Final answer
   x = 228,948.23