Finding the Third Proportional to 128,820.38 and 194,643

Step by Step Solution

1. Step 1: Write the proportion equation
   128,820.38 : 194,643 = 194,643 : x
2. Step 2: Convert to fraction form
   128,820.38/194,643 = 194,643/x
3. Step 3: Cross multiply
   128,820.38x = 194,643 × 194,643
4. Step 4: Simplify right side
   128,820.38x = 37,885,897,449
5. Step 5: Solve for x
   x = 37,885,897,449/128,820.38
6. Step 6: Final answer
   x = 294,098.64