Finding the Third Proportional to 119,031 and 184,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,031 : 184,459.50 = 184,459.50 : x
2. Step 2: Convert to fraction form
   119,031/184,459.50 = 184,459.50/x
3. Step 3: Cross multiply
   119,031x = 184,459.50 × 184,459.50
4. Step 4: Simplify right side
   119,031x = 34,025,307,140.25
5. Step 5: Solve for x
   x = 34,025,307,140.25/119,031
6. Step 6: Final answer
   x = 285,852.48