Finding the Third Proportional to 69,078 and 103,677

Step by Step Solution

1. Step 1: Write the proportion equation
   69,078 : 103,677 = 103,677 : x
2. Step 2: Convert to fraction form
   69,078/103,677 = 103,677/x
3. Step 3: Cross multiply
   69,078x = 103,677 × 103,677
4. Step 4: Simplify right side
   69,078x = 10,748,920,329
5. Step 5: Solve for x
   x = 10,748,920,329/69,078
6. Step 6: Final answer
   x = 155,605.55