Finding the Third Proportional to 122,112.75 and 174,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,112.75 : 174,967.50 = 174,967.50 : x
2. Step 2: Convert to fraction form
   122,112.75/174,967.50 = 174,967.50/x
3. Step 3: Cross multiply
   122,112.75x = 174,967.50 × 174,967.50
4. Step 4: Simplify right side
   122,112.75x = 30,613,626,056.25
5. Step 5: Solve for x
   x = 30,613,626,056.25/122,112.75
6. Step 6: Final answer
   x = 250,699.67