Finding the Third Proportional to 165,102 and 361,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,102 : 361,849.50 = 361,849.50 : x
2. Step 2: Convert to fraction form
   165,102/361,849.50 = 361,849.50/x
3. Step 3: Cross multiply
   165,102x = 361,849.50 × 361,849.50
4. Step 4: Simplify right side
   165,102x = 130,935,060,650.25
5. Step 5: Solve for x
   x = 130,935,060,650.25/165,102
6. Step 6: Final answer
   x = 793,055.57