Finding the Third Proportional to 243,688 and 382,362

Step by Step Solution

1. Step 1: Write the proportion equation
   243,688 : 382,362 = 382,362 : x
2. Step 2: Convert to fraction form
   243,688/382,362 = 382,362/x
3. Step 3: Cross multiply
   243,688x = 382,362 × 382,362
4. Step 4: Simplify right side
   243,688x = 146,200,699,044
5. Step 5: Solve for x
   x = 146,200,699,044/243,688
6. Step 6: Final answer
   x = 599,950.34