Finding the Third Proportional to 109,989 and 174,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,989 : 174,829.50 = 174,829.50 : x
2. Step 2: Convert to fraction form
   109,989/174,829.50 = 174,829.50/x
3. Step 3: Cross multiply
   109,989x = 174,829.50 × 174,829.50
4. Step 4: Simplify right side
   109,989x = 30,565,354,070.25
5. Step 5: Solve for x
   x = 30,565,354,070.25/109,989
6. Step 6: Final answer
   x = 277,894.64