Finding the Third Proportional to 128,829 and 194,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,829 : 194,656.50 = 194,656.50 : x
2. Step 2: Convert to fraction form
   128,829/194,656.50 = 194,656.50/x
3. Step 3: Cross multiply
   128,829x = 194,656.50 × 194,656.50
4. Step 4: Simplify right side
   128,829x = 37,891,152,992.25
5. Step 5: Solve for x
   x = 37,891,152,992.25/128,829
6. Step 6: Final answer
   x = 294,119.75