Finding the Third Proportional to 175,149 and 271,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,149 : 271,759.50 = 271,759.50 : x
2. Step 2: Convert to fraction form
   175,149/271,759.50 = 271,759.50/x
3. Step 3: Cross multiply
   175,149x = 271,759.50 × 271,759.50
4. Step 4: Simplify right side
   175,149x = 73,853,225,840.25
5. Step 5: Solve for x
   x = 73,853,225,840.25/175,149
6. Step 6: Final answer
   x = 421,659.42