Finding the Third Proportional to 69,680 and 152,704

Step by Step Solution

1. Step 1: Write the proportion equation
   69,680 : 152,704 = 152,704 : x
2. Step 2: Convert to fraction form
   69,680/152,704 = 152,704/x
3. Step 3: Cross multiply
   69,680x = 152,704 × 152,704
4. Step 4: Simplify right side
   69,680x = 23,318,511,616
5. Step 5: Solve for x
   x = 23,318,511,616/69,680
6. Step 6: Final answer
   x = 334,651.43