Finding the Third Proportional to 123,777 and 180,373.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,777 : 180,373.50 = 180,373.50 : x
2. Step 2: Convert to fraction form
   123,777/180,373.50 = 180,373.50/x
3. Step 3: Cross multiply
   123,777x = 180,373.50 × 180,373.50
4. Step 4: Simplify right side
   123,777x = 32,534,599,502.25
5. Step 5: Solve for x
   x = 32,534,599,502.25/123,777
6. Step 6: Final answer
   x = 262,848.51