Finding the Third Proportional to 116,964 and 176,610

Step by Step Solution

1. Step 1: Write the proportion equation
   116,964 : 176,610 = 176,610 : x
2. Step 2: Convert to fraction form
   116,964/176,610 = 176,610/x
3. Step 3: Cross multiply
   116,964x = 176,610 × 176,610
4. Step 4: Simplify right side
   116,964x = 31,191,092,100
5. Step 5: Solve for x
   x = 31,191,092,100/116,964
6. Step 6: Final answer
   x = 266,672.58