Finding the Third Proportional to 116,661 and 176,061

Step by Step Solution

1. Step 1: Write the proportion equation
   116,661 : 176,061 = 176,061 : x
2. Step 2: Convert to fraction form
   116,661/176,061 = 176,061/x
3. Step 3: Cross multiply
   116,661x = 176,061 × 176,061
4. Step 4: Simplify right side
   116,661x = 30,997,475,721
5. Step 5: Solve for x
   x = 30,997,475,721/116,661
6. Step 6: Final answer
   x = 265,705.55