Finding the Third Proportional to 141,542 and 333,659

Step by Step Solution

1. Step 1: Write the proportion equation
   141,542 : 333,659 = 333,659 : x
2. Step 2: Convert to fraction form
   141,542/333,659 = 333,659/x
3. Step 3: Cross multiply
   141,542x = 333,659 × 333,659
4. Step 4: Simplify right side
   141,542x = 111,328,328,281
5. Step 5: Solve for x
   x = 111,328,328,281/141,542
6. Step 6: Final answer
   x = 786,539.18