Finding the Third Proportional to 64,141 and 148,469

Step by Step Solution

1. Step 1: Write the proportion equation
   64,141 : 148,469 = 148,469 : x
2. Step 2: Convert to fraction form
   64,141/148,469 = 148,469/x
3. Step 3: Cross multiply
   64,141x = 148,469 × 148,469
4. Step 4: Simplify right side
   64,141x = 22,043,043,961
5. Step 5: Solve for x
   x = 22,043,043,961/64,141
6. Step 6: Final answer
   x = 343,665.42