Finding the Third Proportional to 137,090 and 186,762

Step by Step Solution

1. Step 1: Write the proportion equation
   137,090 : 186,762 = 186,762 : x
2. Step 2: Convert to fraction form
   137,090/186,762 = 186,762/x
3. Step 3: Cross multiply
   137,090x = 186,762 × 186,762
4. Step 4: Simplify right side
   137,090x = 34,880,044,644
5. Step 5: Solve for x
   x = 34,880,044,644/137,090
6. Step 6: Final answer
   x = 254,431.72