Finding the Third Proportional to 69,678 and 152,700

Step by Step Solution

1. Step 1: Write the proportion equation
   69,678 : 152,700 = 152,700 : x
2. Step 2: Convert to fraction form
   69,678/152,700 = 152,700/x
3. Step 3: Cross multiply
   69,678x = 152,700 × 152,700
4. Step 4: Simplify right side
   69,678x = 23,317,290,000
5. Step 5: Solve for x
   x = 23,317,290,000/69,678
6. Step 6: Final answer
   x = 334,643.50