Finding the Third Proportional to 130,647 and 195,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,647 : 195,460.50 = 195,460.50 : x
2. Step 2: Convert to fraction form
   130,647/195,460.50 = 195,460.50/x
3. Step 3: Cross multiply
   130,647x = 195,460.50 × 195,460.50
4. Step 4: Simplify right side
   130,647x = 38,204,807,060.25
5. Step 5: Solve for x
   x = 38,204,807,060.25/130,647
6. Step 6: Final answer
   x = 292,427.74