Finding the Third Proportional to 83,466 and 184,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,466 : 184,945.50 = 184,945.50 : x
2. Step 2: Convert to fraction form
   83,466/184,945.50 = 184,945.50/x
3. Step 3: Cross multiply
   83,466x = 184,945.50 × 184,945.50
4. Step 4: Simplify right side
   83,466x = 34,204,837,970.25
5. Step 5: Solve for x
   x = 34,204,837,970.25/83,466
6. Step 6: Final answer
   x = 409,805.65