Finding the Third Proportional to 93,727 and 137,095

Step by Step Solution

1. Step 1: Write the proportion equation
   93,727 : 137,095 = 137,095 : x
2. Step 2: Convert to fraction form
   93,727/137,095 = 137,095/x
3. Step 3: Cross multiply
   93,727x = 137,095 × 137,095
4. Step 4: Simplify right side
   93,727x = 18,795,039,025
5. Step 5: Solve for x
   x = 18,795,039,025/93,727
6. Step 6: Final answer
   x = 200,529.61