Finding the Third Proportional to 116,314 and 174,466

Step by Step Solution

1. Step 1: Write the proportion equation
   116,314 : 174,466 = 174,466 : x
2. Step 2: Convert to fraction form
   116,314/174,466 = 174,466/x
3. Step 3: Cross multiply
   116,314x = 174,466 × 174,466
4. Step 4: Simplify right side
   116,314x = 30,438,385,156
5. Step 5: Solve for x
   x = 30,438,385,156/116,314
6. Step 6: Final answer
   x = 261,691.50