Finding the Third Proportional to 137,874 and 201,337.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,874 : 201,337.50 = 201,337.50 : x
2. Step 2: Convert to fraction form
   137,874/201,337.50 = 201,337.50/x
3. Step 3: Cross multiply
   137,874x = 201,337.50 × 201,337.50
4. Step 4: Simplify right side
   137,874x = 40,536,788,906.25
5. Step 5: Solve for x
   x = 40,536,788,906.25/137,874
6. Step 6: Final answer
   x = 294,013.29