Finding the Third Proportional to 171,128 and 266,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171,128 : 266,025.50 = 266,025.50 : x
2. Step 2: Convert to fraction form
   171,128/266,025.50 = 266,025.50/x
3. Step 3: Cross multiply
   171,128x = 266,025.50 × 266,025.50
4. Step 4: Simplify right side
   171,128x = 70,769,566,650.25
5. Step 5: Solve for x
   x = 70,769,566,650.25/171,128
6. Step 6: Final answer
   x = 413,547.56