Finding the Third Proportional to 115,725 and 174,817.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,725 : 174,817.50 = 174,817.50 : x
2. Step 2: Convert to fraction form
   115,725/174,817.50 = 174,817.50/x
3. Step 3: Cross multiply
   115,725x = 174,817.50 × 174,817.50
4. Step 4: Simplify right side
   115,725x = 30,561,158,306.25
5. Step 5: Solve for x
   x = 30,561,158,306.25/115,725
6. Step 6: Final answer
   x = 264,084.32