Finding the Third Proportional to 116,312 and 174,463

Step by Step Solution

1. Step 1: Write the proportion equation
   116,312 : 174,463 = 174,463 : x
2. Step 2: Convert to fraction form
   116,312/174,463 = 174,463/x
3. Step 3: Cross multiply
   116,312x = 174,463 × 174,463
4. Step 4: Simplify right side
   116,312x = 30,437,338,369
5. Step 5: Solve for x
   x = 30,437,338,369/116,312
6. Step 6: Final answer
   x = 261,687.00