Finding the Third Proportional to 309,549.50 and 462,901

Step by Step Solution

1. Step 1: Write the proportion equation
   309,549.50 : 462,901 = 462,901 : x
2. Step 2: Convert to fraction form
   309,549.50/462,901 = 462,901/x
3. Step 3: Cross multiply
   309,549.50x = 462,901 × 462,901
4. Step 4: Simplify right side
   309,549.50x = 214,277,335,801
5. Step 5: Solve for x
   x = 214,277,335,801/309,549.50
6. Step 6: Final answer
   x = 692,223.17