Finding the Third Proportional to 112,735.50 and 178,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   112,735.50 : 178,381.50 = 178,381.50 : x
2. Step 2: Convert to fraction form
   112,735.50/178,381.50 = 178,381.50/x
3. Step 3: Cross multiply
   112,735.50x = 178,381.50 × 178,381.50
4. Step 4: Simplify right side
   112,735.50x = 31,819,959,542.25
5. Step 5: Solve for x
   x = 31,819,959,542.25/112,735.50
6. Step 6: Final answer
   x = 282,253.23