Finding the Third Proportional to 119,194 and 180,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,194 : 180,005.50 = 180,005.50 : x
2. Step 2: Convert to fraction form
   119,194/180,005.50 = 180,005.50/x
3. Step 3: Cross multiply
   119,194x = 180,005.50 × 180,005.50
4. Step 4: Simplify right side
   119,194x = 32,401,980,030.25
5. Step 5: Solve for x
   x = 32,401,980,030.25/119,194
6. Step 6: Final answer
   x = 271,842.37