Finding the Third Proportional to 172,526 and 377,038

Step by Step Solution

1. Step 1: Write the proportion equation
   172,526 : 377,038 = 377,038 : x
2. Step 2: Convert to fraction form
   172,526/377,038 = 377,038/x
3. Step 3: Cross multiply
   172,526x = 377,038 × 377,038
4. Step 4: Simplify right side
   172,526x = 142,157,653,444
5. Step 5: Solve for x
   x = 142,157,653,444/172,526
6. Step 6: Final answer
   x = 823,978.14