Finding the Third Proportional to 40,776 and 94,584

Step by Step Solution

1. Step 1: Write the proportion equation
   40,776 : 94,584 = 94,584 : x
2. Step 2: Convert to fraction form
   40,776/94,584 = 94,584/x
3. Step 3: Cross multiply
   40,776x = 94,584 × 94,584
4. Step 4: Simplify right side
   40,776x = 8,946,133,056
5. Step 5: Solve for x
   x = 8,946,133,056/40,776
6. Step 6: Final answer
   x = 219,397.02