Finding the Third Proportional to 119,880 and 184,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,880 : 184,477.50 = 184,477.50 : x
2. Step 2: Convert to fraction form
   119,880/184,477.50 = 184,477.50/x
3. Step 3: Cross multiply
   119,880x = 184,477.50 × 184,477.50
4. Step 4: Simplify right side
   119,880x = 34,031,948,006.25
5. Step 5: Solve for x
   x = 34,031,948,006.25/119,880
6. Step 6: Final answer
   x = 283,883.45