Finding the Third Proportional to 83,604 and 178,712

Step by Step Solution

1. Step 1: Write the proportion equation
   83,604 : 178,712 = 178,712 : x
2. Step 2: Convert to fraction form
   83,604/178,712 = 178,712/x
3. Step 3: Cross multiply
   83,604x = 178,712 × 178,712
4. Step 4: Simplify right side
   83,604x = 31,937,978,944
5. Step 5: Solve for x
   x = 31,937,978,944/83,604
6. Step 6: Final answer
   x = 382,014.96