Finding the Third Proportional to 119,148 and 175,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,148 : 175,072.50 = 175,072.50 : x
2. Step 2: Convert to fraction form
   119,148/175,072.50 = 175,072.50/x
3. Step 3: Cross multiply
   119,148x = 175,072.50 × 175,072.50
4. Step 4: Simplify right side
   119,148x = 30,650,380,256.25
5. Step 5: Solve for x
   x = 30,650,380,256.25/119,148
6. Step 6: Final answer
   x = 257,246.28