Finding the Third Proportional to 115,699.50 and 174,782.25

Step by Step Solution

1. Step 1: Write the proportion equation
   115,699.50 : 174,782.25 = 174,782.25 : x
2. Step 2: Convert to fraction form
   115,699.50/174,782.25 = 174,782.25/x
3. Step 3: Cross multiply
   115,699.50x = 174,782.25 × 174,782.25
4. Step 4: Simplify right side
   115,699.50x = 30,548,834,915.06
5. Step 5: Solve for x
   x = 30,548,834,915.06/115,699.50
6. Step 6: Final answer
   x = 264,036.01