Finding the Third Proportional to 130,035 and 204,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,035 : 204,037.50 = 204,037.50 : x
2. Step 2: Convert to fraction form
   130,035/204,037.50 = 204,037.50/x
3. Step 3: Cross multiply
   130,035x = 204,037.50 × 204,037.50
4. Step 4: Simplify right side
   130,035x = 41,631,301,406.25
5. Step 5: Solve for x
   x = 41,631,301,406.25/130,035
6. Step 6: Final answer
   x = 320,154.58