Finding the Third Proportional to 78,178 and 152,467

Step by Step Solution

1. Step 1: Write the proportion equation
   78,178 : 152,467 = 152,467 : x
2. Step 2: Convert to fraction form
   78,178/152,467 = 152,467/x
3. Step 3: Cross multiply
   78,178x = 152,467 × 152,467
4. Step 4: Simplify right side
   78,178x = 23,246,186,089
5. Step 5: Solve for x
   x = 23,246,186,089/78,178
6. Step 6: Final answer
   x = 297,349.46