Finding the Third Proportional to 72,970 and 119,139

Step by Step Solution

1. Step 1: Write the proportion equation
   72,970 : 119,139 = 119,139 : x
2. Step 2: Convert to fraction form
   72,970/119,139 = 119,139/x
3. Step 3: Cross multiply
   72,970x = 119,139 × 119,139
4. Step 4: Simplify right side
   72,970x = 14,194,101,321
5. Step 5: Solve for x
   x = 14,194,101,321/72,970
6. Step 6: Final answer
   x = 194,519.68