Finding the Third Proportional to 83,516.06 and 185,667.19

Step by Step Solution

1. Step 1: Write the proportion equation
   83,516.06 : 185,667.19 = 185,667.19 : x
2. Step 2: Convert to fraction form
   83,516.06/185,667.19 = 185,667.19/x
3. Step 3: Cross multiply
   83,516.06x = 185,667.19 × 185,667.19
4. Step 4: Simplify right side
   83,516.06x = 34,472,304,514.16
5. Step 5: Solve for x
   x = 34,472,304,514.16/83,516.06
6. Step 6: Final answer
   x = 412,762.57