Finding the Third Proportional to 116,748 and 181,116

Step by Step Solution

1. Step 1: Write the proportion equation
   116,748 : 181,116 = 181,116 : x
2. Step 2: Convert to fraction form
   116,748/181,116 = 181,116/x
3. Step 3: Cross multiply
   116,748x = 181,116 × 181,116
4. Step 4: Simplify right side
   116,748x = 32,803,005,456
5. Step 5: Solve for x
   x = 32,803,005,456/116,748
6. Step 6: Final answer
   x = 280,972.74