Finding the Third Proportional to 182,169 and 384,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,169 : 384,142.50 = 384,142.50 : x
2. Step 2: Convert to fraction form
   182,169/384,142.50 = 384,142.50/x
3. Step 3: Cross multiply
   182,169x = 384,142.50 × 384,142.50
4. Step 4: Simplify right side
   182,169x = 147,565,460,306.25
5. Step 5: Solve for x
   x = 147,565,460,306.25/182,169
6. Step 6: Final answer
   x = 810,047.05