Finding the Third Proportional to 76,604 and 178,012

Step by Step Solution

1. Step 1: Write the proportion equation
   76,604 : 178,012 = 178,012 : x
2. Step 2: Convert to fraction form
   76,604/178,012 = 178,012/x
3. Step 3: Cross multiply
   76,604x = 178,012 × 178,012
4. Step 4: Simplify right side
   76,604x = 31,688,272,144
5. Step 5: Solve for x
   x = 31,688,272,144/76,604
6. Step 6: Final answer
   x = 413,663.41