Finding the Third Proportional to 105,084 and 137,940

Step by Step Solution

1. Step 1: Write the proportion equation
   105,084 : 137,940 = 137,940 : x
2. Step 2: Convert to fraction form
   105,084/137,940 = 137,940/x
3. Step 3: Cross multiply
   105,084x = 137,940 × 137,940
4. Step 4: Simplify right side
   105,084x = 19,027,443,600
5. Step 5: Solve for x
   x = 19,027,443,600/105,084
6. Step 6: Final answer
   x = 181,068.89