Finding the Third Proportional to 177,267 and 266,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,267 : 266,029.50 = 266,029.50 : x
2. Step 2: Convert to fraction form
   177,267/266,029.50 = 266,029.50/x
3. Step 3: Cross multiply
   177,267x = 266,029.50 × 266,029.50
4. Step 4: Simplify right side
   177,267x = 70,771,694,870.25
5. Step 5: Solve for x
   x = 70,771,694,870.25/177,267
6. Step 6: Final answer
   x = 399,237.84