Finding the Third Proportional to 83,481 and 184,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,481 : 184,969.50 = 184,969.50 : x
2. Step 2: Convert to fraction form
   83,481/184,969.50 = 184,969.50/x
3. Step 3: Cross multiply
   83,481x = 184,969.50 × 184,969.50
4. Step 4: Simplify right side
   83,481x = 34,213,715,930.25
5. Step 5: Solve for x
   x = 34,213,715,930.25/83,481
6. Step 6: Final answer
   x = 409,838.36