Finding the Third Proportional to 78,326 and 152,704

Step by Step Solution

1. Step 1: Write the proportion equation
   78,326 : 152,704 = 152,704 : x
2. Step 2: Convert to fraction form
   78,326/152,704 = 152,704/x
3. Step 3: Cross multiply
   78,326x = 152,704 × 152,704
4. Step 4: Simplify right side
   78,326x = 23,318,511,616
5. Step 5: Solve for x
   x = 23,318,511,616/78,326
6. Step 6: Final answer
   x = 297,711.00