Finding the Third Proportional to 77,556 and 105,156

Step by Step Solution

1. Step 1: Write the proportion equation
   77,556 : 105,156 = 105,156 : x
2. Step 2: Convert to fraction form
   77,556/105,156 = 105,156/x
3. Step 3: Cross multiply
   77,556x = 105,156 × 105,156
4. Step 4: Simplify right side
   77,556x = 11,057,784,336
5. Step 5: Solve for x
   x = 11,057,784,336/77,556
6. Step 6: Final answer
   x = 142,578.06