Finding the Third Proportional to 69,701 and 152,743

Step by Step Solution

1. Step 1: Write the proportion equation
   69,701 : 152,743 = 152,743 : x
2. Step 2: Convert to fraction form
   69,701/152,743 = 152,743/x
3. Step 3: Cross multiply
   69,701x = 152,743 × 152,743
4. Step 4: Simplify right side
   69,701x = 23,330,424,049
5. Step 5: Solve for x
   x = 23,330,424,049/69,701
6. Step 6: Final answer
   x = 334,721.51