Finding the Third Proportional to 75,667.50 and 166,032

Step by Step Solution

1. Step 1: Write the proportion equation
   75,667.50 : 166,032 = 166,032 : x
2. Step 2: Convert to fraction form
   75,667.50/166,032 = 166,032/x
3. Step 3: Cross multiply
   75,667.50x = 166,032 × 166,032
4. Step 4: Simplify right side
   75,667.50x = 27,566,625,024
5. Step 5: Solve for x
   x = 27,566,625,024/75,667.50
6. Step 6: Final answer
   x = 364,312.62