Finding the Third Proportional to 165,623 and 357,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,623 : 357,474.50 = 357,474.50 : x
2. Step 2: Convert to fraction form
   165,623/357,474.50 = 357,474.50/x
3. Step 3: Cross multiply
   165,623x = 357,474.50 × 357,474.50
4. Step 4: Simplify right side
   165,623x = 127,788,018,150.25
5. Step 5: Solve for x
   x = 127,788,018,150.25/165,623
6. Step 6: Final answer
   x = 771,559.62