Finding the Third Proportional to 138,025 and 194,317.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,025 : 194,317.50 = 194,317.50 : x
2. Step 2: Convert to fraction form
   138,025/194,317.50 = 194,317.50/x
3. Step 3: Cross multiply
   138,025x = 194,317.50 × 194,317.50
4. Step 4: Simplify right side
   138,025x = 37,759,290,806.25
5. Step 5: Solve for x
   x = 37,759,290,806.25/138,025
6. Step 6: Final answer
   x = 273,568.49