Finding the Third Proportional to 83,592 and 174,092

Step by Step Solution

1. Step 1: Write the proportion equation
   83,592 : 174,092 = 174,092 : x
2. Step 2: Convert to fraction form
   83,592/174,092 = 174,092/x
3. Step 3: Cross multiply
   83,592x = 174,092 × 174,092
4. Step 4: Simplify right side
   83,592x = 30,308,024,464
5. Step 5: Solve for x
   x = 30,308,024,464/83,592
6. Step 6: Final answer
   x = 362,570.87