Finding the Third Proportional to 96,258 and 148,146

Step by Step Solution

1. Step 1: Write the proportion equation
   96,258 : 148,146 = 148,146 : x
2. Step 2: Convert to fraction form
   96,258/148,146 = 148,146/x
3. Step 3: Cross multiply
   96,258x = 148,146 × 148,146
4. Step 4: Simplify right side
   96,258x = 21,947,237,316
5. Step 5: Solve for x
   x = 21,947,237,316/96,258
6. Step 6: Final answer
   x = 228,004.29