Finding the Third Proportional to 177,602.63 and 380,538

Step by Step Solution

1. Step 1: Write the proportion equation
   177,602.63 : 380,538 = 380,538 : x
2. Step 2: Convert to fraction form
   177,602.63/380,538 = 380,538/x
3. Step 3: Cross multiply
   177,602.63x = 380,538 × 380,538
4. Step 4: Simplify right side
   177,602.63x = 144,809,169,444
5. Step 5: Solve for x
   x = 144,809,169,444/177,602.63
6. Step 6: Final answer
   x = 815,354.89