Finding the Third Proportional to 120,834 and 177,550

Step by Step Solution

1. Step 1: Write the proportion equation
   120,834 : 177,550 = 177,550 : x
2. Step 2: Convert to fraction form
   120,834/177,550 = 177,550/x
3. Step 3: Cross multiply
   120,834x = 177,550 × 177,550
4. Step 4: Simplify right side
   120,834x = 31,524,002,500
5. Step 5: Solve for x
   x = 31,524,002,500/120,834
6. Step 6: Final answer
   x = 260,886.86