Finding the Third Proportional to 177,595.50 and 380,382

Step by Step Solution

1. Step 1: Write the proportion equation
   177,595.50 : 380,382 = 380,382 : x
2. Step 2: Convert to fraction form
   177,595.50/380,382 = 380,382/x
3. Step 3: Cross multiply
   177,595.50x = 380,382 × 380,382
4. Step 4: Simplify right side
   177,595.50x = 144,690,465,924
5. Step 5: Solve for x
   x = 144,690,465,924/177,595.50
6. Step 6: Final answer
   x = 814,719.21