Finding the Third Proportional to 165,780 and 254,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,780 : 254,962.50 = 254,962.50 : x
2. Step 2: Convert to fraction form
   165,780/254,962.50 = 254,962.50/x
3. Step 3: Cross multiply
   165,780x = 254,962.50 × 254,962.50
4. Step 4: Simplify right side
   165,780x = 65,005,876,406.25
5. Step 5: Solve for x
   x = 65,005,876,406.25/165,780
6. Step 6: Final answer
   x = 392,121.34