Finding the Third Proportional to 59,402 and 78,519

Step by Step Solution

1. Step 1: Write the proportion equation
   59,402 : 78,519 = 78,519 : x
2. Step 2: Convert to fraction form
   59,402/78,519 = 78,519/x
3. Step 3: Cross multiply
   59,402x = 78,519 × 78,519
4. Step 4: Simplify right side
   59,402x = 6,165,233,361
5. Step 5: Solve for x
   x = 6,165,233,361/59,402
6. Step 6: Final answer
   x = 103,788.31