Finding the Third Proportional to 138,051 and 194,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,051 : 194,359.50 = 194,359.50 : x
2. Step 2: Convert to fraction form
   138,051/194,359.50 = 194,359.50/x
3. Step 3: Cross multiply
   138,051x = 194,359.50 × 194,359.50
4. Step 4: Simplify right side
   138,051x = 37,775,615,240.25
5. Step 5: Solve for x
   x = 37,775,615,240.25/138,051
6. Step 6: Final answer
   x = 273,635.22