Finding the Third Proportional to 319,114.50 and 472,362

Step by Step Solution

1. Step 1: Write the proportion equation
   319,114.50 : 472,362 = 472,362 : x
2. Step 2: Convert to fraction form
   319,114.50/472,362 = 472,362/x
3. Step 3: Cross multiply
   319,114.50x = 472,362 × 472,362
4. Step 4: Simplify right side
   319,114.50x = 223,125,859,044
5. Step 5: Solve for x
   x = 223,125,859,044/319,114.50
6. Step 6: Final answer
   x = 699,203.14