Finding the Third Proportional to 128,749.50 and 194,501.25

Step by Step Solution

1. Step 1: Write the proportion equation
   128,749.50 : 194,501.25 = 194,501.25 : x
2. Step 2: Convert to fraction form
   128,749.50/194,501.25 = 194,501.25/x
3. Step 3: Cross multiply
   128,749.50x = 194,501.25 × 194,501.25
4. Step 4: Simplify right side
   128,749.50x = 37,830,736,251.56
5. Step 5: Solve for x
   x = 37,830,736,251.56/128,749.50
6. Step 6: Final answer
   x = 293,832.10