Finding the Third Proportional to 53,770 and 83,600

Step by Step Solution

1. Step 1: Write the proportion equation
   53,770 : 83,600 = 83,600 : x
2. Step 2: Convert to fraction form
   53,770/83,600 = 83,600/x
3. Step 3: Cross multiply
   53,770x = 83,600 × 83,600
4. Step 4: Simplify right side
   53,770x = 6,988,960,000
5. Step 5: Solve for x
   x = 6,988,960,000/53,770
6. Step 6: Final answer
   x = 129,978.80