Finding the Third Proportional to 123,765 and 271,197

Step by Step Solution

1. Step 1: Write the proportion equation
   123,765 : 271,197 = 271,197 : x
2. Step 2: Convert to fraction form
   123,765/271,197 = 271,197/x
3. Step 3: Cross multiply
   123,765x = 271,197 × 271,197
4. Step 4: Simplify right side
   123,765x = 73,547,812,809
5. Step 5: Solve for x
   x = 73,547,812,809/123,765
6. Step 6: Final answer
   x = 594,253.73