Finding the Third Proportional to 68,627 and 109,592

Step by Step Solution

1. Step 1: Write the proportion equation
   68,627 : 109,592 = 109,592 : x
2. Step 2: Convert to fraction form
   68,627/109,592 = 109,592/x
3. Step 3: Cross multiply
   68,627x = 109,592 × 109,592
4. Step 4: Simplify right side
   68,627x = 12,010,406,464
5. Step 5: Solve for x
   x = 12,010,406,464/68,627
6. Step 6: Final answer
   x = 175,009.93