Finding the Third Proportional to 177,366 and 275,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,366 : 275,377.50 = 275,377.50 : x
2. Step 2: Convert to fraction form
   177,366/275,377.50 = 275,377.50/x
3. Step 3: Cross multiply
   177,366x = 275,377.50 × 275,377.50
4. Step 4: Simplify right side
   177,366x = 75,832,767,506.25
5. Step 5: Solve for x
   x = 75,832,767,506.25/177,366
6. Step 6: Final answer
   x = 427,549.63