Finding the Third Proportional to 177,588 and 271,667.25

Step by Step Solution

1. Step 1: Write the proportion equation
   177,588 : 271,667.25 = 271,667.25 : x
2. Step 2: Convert to fraction form
   177,588/271,667.25 = 271,667.25/x
3. Step 3: Cross multiply
   177,588x = 271,667.25 × 271,667.25
4. Step 4: Simplify right side
   177,588x = 73,803,094,722.56
5. Step 5: Solve for x
   x = 73,803,094,722.56/177,588
6. Step 6: Final answer
   x = 415,586.05