Finding the Third Proportional to 69,096 and 151,584

Step by Step Solution

1. Step 1: Write the proportion equation
   69,096 : 151,584 = 151,584 : x
2. Step 2: Convert to fraction form
   69,096/151,584 = 151,584/x
3. Step 3: Cross multiply
   69,096x = 151,584 × 151,584
4. Step 4: Simplify right side
   69,096x = 22,977,709,056
5. Step 5: Solve for x
   x = 22,977,709,056/69,096
6. Step 6: Final answer
   x = 332,547.60