Finding the Third Proportional to 61,566 and 132,978

Step by Step Solution

1. Step 1: Write the proportion equation
   61,566 : 132,978 = 132,978 : x
2. Step 2: Convert to fraction form
   61,566/132,978 = 132,978/x
3. Step 3: Cross multiply
   61,566x = 132,978 × 132,978
4. Step 4: Simplify right side
   61,566x = 17,683,148,484
5. Step 5: Solve for x
   x = 17,683,148,484/61,566
6. Step 6: Final answer
   x = 287,222.63