Finding the Third Proportional to 137,624.06 and 193,807.69

Step by Step Solution

1. Step 1: Write the proportion equation
   137,624.06 : 193,807.69 = 193,807.69 : x
2. Step 2: Convert to fraction form
   137,624.06/193,807.69 = 193,807.69/x
3. Step 3: Cross multiply
   137,624.06x = 193,807.69 × 193,807.69
4. Step 4: Simplify right side
   137,624.06x = 37,561,419,734.10
5. Step 5: Solve for x
   x = 37,561,419,734.10/137,624.06
6. Step 6: Final answer
   x = 272,927.71