Finding the Third Proportional to 69,196 and 103,658

Step by Step Solution

1. Step 1: Write the proportion equation
   69,196 : 103,658 = 103,658 : x
2. Step 2: Convert to fraction form
   69,196/103,658 = 103,658/x
3. Step 3: Cross multiply
   69,196x = 103,658 × 103,658
4. Step 4: Simplify right side
   69,196x = 10,744,980,964
5. Step 5: Solve for x
   x = 10,744,980,964/69,196
6. Step 6: Final answer
   x = 155,283.27