Finding the Third Proportional to 83,478.38 and 184,963.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,478.38 : 184,963.50 = 184,963.50 : x
2. Step 2: Convert to fraction form
   83,478.38/184,963.50 = 184,963.50/x
3. Step 3: Cross multiply
   83,478.38x = 184,963.50 × 184,963.50
4. Step 4: Simplify right side
   83,478.38x = 34,211,496,332.25
5. Step 5: Solve for x
   x = 34,211,496,332.25/83,478.38
6. Step 6: Final answer
   x = 409,824.66