Finding the Third Proportional to 137,092 and 186,764

Step by Step Solution

1. Step 1: Write the proportion equation
   137,092 : 186,764 = 186,764 : x
2. Step 2: Convert to fraction form
   137,092/186,764 = 186,764/x
3. Step 3: Cross multiply
   137,092x = 186,764 × 186,764
4. Step 4: Simplify right side
   137,092x = 34,880,791,696
5. Step 5: Solve for x
   x = 34,880,791,696/137,092
6. Step 6: Final answer
   x = 254,433.46