Finding the Third Proportional to 165,780 and 250,056

Step by Step Solution

1. Step 1: Write the proportion equation
   165,780 : 250,056 = 250,056 : x
2. Step 2: Convert to fraction form
   165,780/250,056 = 250,056/x
3. Step 3: Cross multiply
   165,780x = 250,056 × 250,056
4. Step 4: Simplify right side
   165,780x = 62,528,003,136
5. Step 5: Solve for x
   x = 62,528,003,136/165,780
6. Step 6: Final answer
   x = 377,174.59