Finding the Third Proportional to 147,126 and 225,426

Step by Step Solution

1. Step 1: Write the proportion equation
   147,126 : 225,426 = 225,426 : x
2. Step 2: Convert to fraction form
   147,126/225,426 = 225,426/x
3. Step 3: Cross multiply
   147,126x = 225,426 × 225,426
4. Step 4: Simplify right side
   147,126x = 50,816,881,476
5. Step 5: Solve for x
   x = 50,816,881,476/147,126
6. Step 6: Final answer
   x = 345,397.02