Finding the Third Proportional to 69,470 and 107,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,470 : 107,636.50 = 107,636.50 : x
2. Step 2: Convert to fraction form
   69,470/107,636.50 = 107,636.50/x
3. Step 3: Cross multiply
   69,470x = 107,636.50 × 107,636.50
4. Step 4: Simplify right side
   69,470x = 11,585,616,132.25
5. Step 5: Solve for x
   x = 11,585,616,132.25/69,470
6. Step 6: Final answer
   x = 166,771.50