Finding the Third Proportional to 93,914 and 137,997

Step by Step Solution

1. Step 1: Write the proportion equation
   93,914 : 137,997 = 137,997 : x
2. Step 2: Convert to fraction form
   93,914/137,997 = 137,997/x
3. Step 3: Cross multiply
   93,914x = 137,997 × 137,997
4. Step 4: Simplify right side
   93,914x = 19,043,172,009
5. Step 5: Solve for x
   x = 19,043,172,009/93,914
6. Step 6: Final answer
   x = 202,772.45