Finding the Third Proportional to 128,850 and 194,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,850 : 194,686.50 = 194,686.50 : x
2. Step 2: Convert to fraction form
   128,850/194,686.50 = 194,686.50/x
3. Step 3: Cross multiply
   128,850x = 194,686.50 × 194,686.50
4. Step 4: Simplify right side
   128,850x = 37,902,833,282.25
5. Step 5: Solve for x
   x = 37,902,833,282.25/128,850
6. Step 6: Final answer
   x = 294,162.46