Finding the Third Proportional to 112,824 and 174,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   112,824 : 174,127.50 = 174,127.50 : x
2. Step 2: Convert to fraction form
   112,824/174,127.50 = 174,127.50/x
3. Step 3: Cross multiply
   112,824x = 174,127.50 × 174,127.50
4. Step 4: Simplify right side
   112,824x = 30,320,386,256.25
5. Step 5: Solve for x
   x = 30,320,386,256.25/112,824
6. Step 6: Final answer
   x = 268,740.57