Finding the Third Proportional to 78,487.50 and 166,776

Step by Step Solution

1. Step 1: Write the proportion equation
   78,487.50 : 166,776 = 166,776 : x
2. Step 2: Convert to fraction form
   78,487.50/166,776 = 166,776/x
3. Step 3: Cross multiply
   78,487.50x = 166,776 × 166,776
4. Step 4: Simplify right side
   78,487.50x = 27,814,234,176
5. Step 5: Solve for x
   x = 27,814,234,176/78,487.50
6. Step 6: Final answer
   x = 354,377.88