Finding the Third Proportional to 137,662.50 and 193,862

Step by Step Solution

1. Step 1: Write the proportion equation
   137,662.50 : 193,862 = 193,862 : x
2. Step 2: Convert to fraction form
   137,662.50/193,862 = 193,862/x
3. Step 3: Cross multiply
   137,662.50x = 193,862 × 193,862
4. Step 4: Simplify right side
   137,662.50x = 37,582,475,044
5. Step 5: Solve for x
   x = 37,582,475,044/137,662.50
6. Step 6: Final answer
   x = 273,004.45