Finding the Third Proportional to 69,189 and 103,784

Step by Step Solution

1. Step 1: Write the proportion equation
   69,189 : 103,784 = 103,784 : x
2. Step 2: Convert to fraction form
   69,189/103,784 = 103,784/x
3. Step 3: Cross multiply
   69,189x = 103,784 × 103,784
4. Step 4: Simplify right side
   69,189x = 10,771,118,656
5. Step 5: Solve for x
   x = 10,771,118,656/69,189
6. Step 6: Final answer
   x = 155,676.75