Finding the Third Proportional to 243,542 and 382,140

Step by Step Solution

1. Step 1: Write the proportion equation
   243,542 : 382,140 = 382,140 : x
2. Step 2: Convert to fraction form
   243,542/382,140 = 382,140/x
3. Step 3: Cross multiply
   243,542x = 382,140 × 382,140
4. Step 4: Simplify right side
   243,542x = 146,030,979,600
5. Step 5: Solve for x
   x = 146,030,979,600/243,542
6. Step 6: Final answer
   x = 599,613.12