Finding the Third Proportional to 91,410 and 141,258

Step by Step Solution

1. Step 1: Write the proportion equation
   91,410 : 141,258 = 141,258 : x
2. Step 2: Convert to fraction form
   91,410/141,258 = 141,258/x
3. Step 3: Cross multiply
   91,410x = 141,258 × 141,258
4. Step 4: Simplify right side
   91,410x = 19,953,822,564
5. Step 5: Solve for x
   x = 19,953,822,564/91,410
6. Step 6: Final answer
   x = 218,289.27