Finding the Third Proportional to 137,627 and 193,810

Step by Step Solution

1. Step 1: Write the proportion equation
   137,627 : 193,810 = 193,810 : x
2. Step 2: Convert to fraction form
   137,627/193,810 = 193,810/x
3. Step 3: Cross multiply
   137,627x = 193,810 × 193,810
4. Step 4: Simplify right side
   137,627x = 37,562,316,100
5. Step 5: Solve for x
   x = 37,562,316,100/137,627
6. Step 6: Final answer
   x = 272,928.39