Finding the Third Proportional to 123,650 and 186,630

Step by Step Solution

1. Step 1: Write the proportion equation
   123,650 : 186,630 = 186,630 : x
2. Step 2: Convert to fraction form
   123,650/186,630 = 186,630/x
3. Step 3: Cross multiply
   123,650x = 186,630 × 186,630
4. Step 4: Simplify right side
   123,650x = 34,830,756,900
5. Step 5: Solve for x
   x = 34,830,756,900/123,650
6. Step 6: Final answer
   x = 281,688.29