Finding the Third Proportional to 78,597 and 166,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,597 : 166,063.50 = 166,063.50 : x
2. Step 2: Convert to fraction form
   78,597/166,063.50 = 166,063.50/x
3. Step 3: Cross multiply
   78,597x = 166,063.50 × 166,063.50
4. Step 4: Simplify right side
   78,597x = 27,577,086,032.25
5. Step 5: Solve for x
   x = 27,577,086,032.25/78,597
6. Step 6: Final answer
   x = 350,866.90