Finding the Third Proportional to 147,808 and 262,784

Step by Step Solution

1. Step 1: Write the proportion equation
   147,808 : 262,784 = 262,784 : x
2. Step 2: Convert to fraction form
   147,808/262,784 = 262,784/x
3. Step 3: Cross multiply
   147,808x = 262,784 × 262,784
4. Step 4: Simplify right side
   147,808x = 69,055,430,656
5. Step 5: Solve for x
   x = 69,055,430,656/147,808
6. Step 6: Final answer
   x = 467,196.84