Finding the Third Proportional to 137,538 and 185,562

Step by Step Solution

1. Step 1: Write the proportion equation
   137,538 : 185,562 = 185,562 : x
2. Step 2: Convert to fraction form
   137,538/185,562 = 185,562/x
3. Step 3: Cross multiply
   137,538x = 185,562 × 185,562
4. Step 4: Simplify right side
   137,538x = 34,433,255,844
5. Step 5: Solve for x
   x = 34,433,255,844/137,538
6. Step 6: Final answer
   x = 250,354.49