Finding the Third Proportional to 102,392 and 160,276.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,392 : 160,276.50 = 160,276.50 : x
2. Step 2: Convert to fraction form
   102,392/160,276.50 = 160,276.50/x
3. Step 3: Cross multiply
   102,392x = 160,276.50 × 160,276.50
4. Step 4: Simplify right side
   102,392x = 25,688,556,452.25
5. Step 5: Solve for x
   x = 25,688,556,452.25/102,392
6. Step 6: Final answer
   x = 250,884.41