Finding the Third Proportional to 49,640 and 76,776

Step by Step Solution

1. Step 1: Write the proportion equation
   49,640 : 76,776 = 76,776 : x
2. Step 2: Convert to fraction form
   49,640/76,776 = 76,776/x
3. Step 3: Cross multiply
   49,640x = 76,776 × 76,776
4. Step 4: Simplify right side
   49,640x = 5,894,554,176
5. Step 5: Solve for x
   x = 5,894,554,176/49,640
6. Step 6: Final answer
   x = 118,746.06