Finding the Third Proportional to 119,154 and 174,721.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,154 : 174,721.50 = 174,721.50 : x
2. Step 2: Convert to fraction form
   119,154/174,721.50 = 174,721.50/x
3. Step 3: Cross multiply
   119,154x = 174,721.50 × 174,721.50
4. Step 4: Simplify right side
   119,154x = 30,527,602,562.25
5. Step 5: Solve for x
   x = 30,527,602,562.25/119,154
6. Step 6: Final answer
   x = 256,202.92