Finding the Third Proportional to 130,614 and 195,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,614 : 195,414.50 = 195,414.50 : x
2. Step 2: Convert to fraction form
   130,614/195,414.50 = 195,414.50/x
3. Step 3: Cross multiply
   130,614x = 195,414.50 × 195,414.50
4. Step 4: Simplify right side
   130,614x = 38,186,826,810.25
5. Step 5: Solve for x
   x = 38,186,826,810.25/130,614
6. Step 6: Final answer
   x = 292,363.96