Finding the Third Proportional to 72,906 and 119,048.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,906 : 119,048.50 = 119,048.50 : x
2. Step 2: Convert to fraction form
   72,906/119,048.50 = 119,048.50/x
3. Step 3: Cross multiply
   72,906x = 119,048.50 × 119,048.50
4. Step 4: Simplify right side
   72,906x = 14,172,545,352.25
5. Step 5: Solve for x
   x = 14,172,545,352.25/72,906
6. Step 6: Final answer
   x = 194,394.77