Finding the Third Proportional to 120,769 and 177,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,769 : 177,460.50 = 177,460.50 : x
2. Step 2: Convert to fraction form
   120,769/177,460.50 = 177,460.50/x
3. Step 3: Cross multiply
   120,769x = 177,460.50 × 177,460.50
4. Step 4: Simplify right side
   120,769x = 31,492,229,060.25
5. Step 5: Solve for x
   x = 31,492,229,060.25/120,769
6. Step 6: Final answer
   x = 260,764.18