Finding the Third Proportional to 129,638.50 and 194,460

Step by Step Solution

1. Step 1: Write the proportion equation
   129,638.50 : 194,460 = 194,460 : x
2. Step 2: Convert to fraction form
   129,638.50/194,460 = 194,460/x
3. Step 3: Cross multiply
   129,638.50x = 194,460 × 194,460
4. Step 4: Simplify right side
   129,638.50x = 37,814,691,600
5. Step 5: Solve for x
   x = 37,814,691,600/129,638.50
6. Step 6: Final answer
   x = 291,693.38