Finding the Third Proportional to 52,162 and 78,492

Step by Step Solution

1. Step 1: Write the proportion equation
   52,162 : 78,492 = 78,492 : x
2. Step 2: Convert to fraction form
   52,162/78,492 = 78,492/x
3. Step 3: Cross multiply
   52,162x = 78,492 × 78,492
4. Step 4: Simplify right side
   52,162x = 6,160,994,064
5. Step 5: Solve for x
   x = 6,160,994,064/52,162
6. Step 6: Final answer
   x = 118,112.69