Finding the Third Proportional to 116,562.38 and 174,122.16

Step by Step Solution

1. Step 1: Write the proportion equation
   116,562.38 : 174,122.16 = 174,122.16 : x
2. Step 2: Convert to fraction form
   116,562.38/174,122.16 = 174,122.16/x
3. Step 3: Cross multiply
   116,562.38x = 174,122.16 × 174,122.16
4. Step 4: Simplify right side
   116,562.38x = 30,318,525,297.15
5. Step 5: Solve for x
   x = 30,318,525,297.15/116,562.38
6. Step 6: Final answer
   x = 260,105.59