Finding the Third Proportional to 83,740.50 and 119,382

Step by Step Solution

1. Step 1: Write the proportion equation
   83,740.50 : 119,382 = 119,382 : x
2. Step 2: Convert to fraction form
   83,740.50/119,382 = 119,382/x
3. Step 3: Cross multiply
   83,740.50x = 119,382 × 119,382
4. Step 4: Simplify right side
   83,740.50x = 14,252,061,924
5. Step 5: Solve for x
   x = 14,252,061,924/83,740.50
6. Step 6: Final answer
   x = 170,193.18