Finding the Third Proportional to 116,663 and 176,064

Step by Step Solution

1. Step 1: Write the proportion equation
   116,663 : 176,064 = 176,064 : x
2. Step 2: Convert to fraction form
   116,663/176,064 = 176,064/x
3. Step 3: Cross multiply
   116,663x = 176,064 × 176,064
4. Step 4: Simplify right side
   116,663x = 30,998,532,096
5. Step 5: Solve for x
   x = 30,998,532,096/116,663
6. Step 6: Final answer
   x = 265,710.05