Finding the Third Proportional to 120,018 and 180,961.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,018 : 180,961.50 = 180,961.50 : x
2. Step 2: Convert to fraction form
   120,018/180,961.50 = 180,961.50/x
3. Step 3: Cross multiply
   120,018x = 180,961.50 × 180,961.50
4. Step 4: Simplify right side
   120,018x = 32,747,064,482.25
5. Step 5: Solve for x
   x = 32,747,064,482.25/120,018
6. Step 6: Final answer
   x = 272,851.28