Finding the Third Proportional to 69,764 and 152,566

Step by Step Solution

1. Step 1: Write the proportion equation
   69,764 : 152,566 = 152,566 : x
2. Step 2: Convert to fraction form
   69,764/152,566 = 152,566/x
3. Step 3: Cross multiply
   69,764x = 152,566 × 152,566
4. Step 4: Simplify right side
   69,764x = 23,276,384,356
5. Step 5: Solve for x
   x = 23,276,384,356/69,764
6. Step 6: Final answer
   x = 333,644.64