Finding the Third Proportional to 83,946 and 184,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,946 : 184,429.50 = 184,429.50 : x
2. Step 2: Convert to fraction form
   83,946/184,429.50 = 184,429.50/x
3. Step 3: Cross multiply
   83,946x = 184,429.50 × 184,429.50
4. Step 4: Simplify right side
   83,946x = 34,014,240,470.25
5. Step 5: Solve for x
   x = 34,014,240,470.25/83,946
6. Step 6: Final answer
   x = 405,191.91