Finding the Third Proportional to 112,839.50 and 178,507

Step by Step Solution

1. Step 1: Write the proportion equation
   112,839.50 : 178,507 = 178,507 : x
2. Step 2: Convert to fraction form
   112,839.50/178,507 = 178,507/x
3. Step 3: Cross multiply
   112,839.50x = 178,507 × 178,507
4. Step 4: Simplify right side
   112,839.50x = 31,864,749,049
5. Step 5: Solve for x
   x = 31,864,749,049/112,839.50
6. Step 6: Final answer
   x = 282,390.02