Finding the Third Proportional to 94,782 and 142,413

Step by Step Solution

1. Step 1: Write the proportion equation
   94,782 : 142,413 = 142,413 : x
2. Step 2: Convert to fraction form
   94,782/142,413 = 142,413/x
3. Step 3: Cross multiply
   94,782x = 142,413 × 142,413
4. Step 4: Simplify right side
   94,782x = 20,281,462,569
5. Step 5: Solve for x
   x = 20,281,462,569/94,782
6. Step 6: Final answer
   x = 213,980.11