Finding the Third Proportional to 71,974.50 and 112,900.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,974.50 : 112,900.50 = 112,900.50 : x
2. Step 2: Convert to fraction form
   71,974.50/112,900.50 = 112,900.50/x
3. Step 3: Cross multiply
   71,974.50x = 112,900.50 × 112,900.50
4. Step 4: Simplify right side
   71,974.50x = 12,746,522,900.25
5. Step 5: Solve for x
   x = 12,746,522,900.25/71,974.50
6. Step 6: Final answer
   x = 177,097.76