Finding the Third Proportional to 76,624 and 109,696

Step by Step Solution

1. Step 1: Write the proportion equation
   76,624 : 109,696 = 109,696 : x
2. Step 2: Convert to fraction form
   76,624/109,696 = 109,696/x
3. Step 3: Cross multiply
   76,624x = 109,696 × 109,696
4. Step 4: Simplify right side
   76,624x = 12,033,212,416
5. Step 5: Solve for x
   x = 12,033,212,416/76,624
6. Step 6: Final answer
   x = 157,042.34