Finding the Third Proportional to 77,638.50 and 166,485.38

Step by Step Solution

1. Step 1: Write the proportion equation
   77,638.50 : 166,485.38 = 166,485.38 : x
2. Step 2: Convert to fraction form
   77,638.50/166,485.38 = 166,485.38/x
3. Step 3: Cross multiply
   77,638.50x = 166,485.38 × 166,485.38
4. Step 4: Simplify right side
   77,638.50x = 27,717,380,088.89
5. Step 5: Solve for x
   x = 27,717,380,088.89/77,638.50
6. Step 6: Final answer
   x = 357,005.61