Finding the Third Proportional to 139,769 and 186,217

Step by Step Solution

1. Step 1: Write the proportion equation
   139,769 : 186,217 = 186,217 : x
2. Step 2: Convert to fraction form
   139,769/186,217 = 186,217/x
3. Step 3: Cross multiply
   139,769x = 186,217 × 186,217
4. Step 4: Simplify right side
   139,769x = 34,676,771,089
5. Step 5: Solve for x
   x = 34,676,771,089/139,769
6. Step 6: Final answer
   x = 248,100.59