Finding the Third Proportional to 165,666.50 and 357,780

Step by Step Solution

1. Step 1: Write the proportion equation
   165,666.50 : 357,780 = 357,780 : x
2. Step 2: Convert to fraction form
   165,666.50/357,780 = 357,780/x
3. Step 3: Cross multiply
   165,666.50x = 357,780 × 357,780
4. Step 4: Simplify right side
   165,666.50x = 128,006,528,400
5. Step 5: Solve for x
   x = 128,006,528,400/165,666.50
6. Step 6: Final answer
   x = 772,676.00