Finding the Third Proportional to 130,644 and 195,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,644 : 195,457.50 = 195,457.50 : x
2. Step 2: Convert to fraction form
   130,644/195,457.50 = 195,457.50/x
3. Step 3: Cross multiply
   130,644x = 195,457.50 × 195,457.50
4. Step 4: Simplify right side
   130,644x = 38,203,634,306.25
5. Step 5: Solve for x
   x = 38,203,634,306.25/130,644
6. Step 6: Final answer
   x = 292,425.48