Finding the Third Proportional to 53,362 and 83,706

Step by Step Solution

1. Step 1: Write the proportion equation
   53,362 : 83,706 = 83,706 : x
2. Step 2: Convert to fraction form
   53,362/83,706 = 83,706/x
3. Step 3: Cross multiply
   53,362x = 83,706 × 83,706
4. Step 4: Simplify right side
   53,362x = 7,006,694,436
5. Step 5: Solve for x
   x = 7,006,694,436/53,362
6. Step 6: Final answer
   x = 131,304.94