Finding the Third Proportional to 46,784 and 89,254

Step by Step Solution

1. Step 1: Write the proportion equation
   46,784 : 89,254 = 89,254 : x
2. Step 2: Convert to fraction form
   46,784/89,254 = 89,254/x
3. Step 3: Cross multiply
   46,784x = 89,254 × 89,254
4. Step 4: Simplify right side
   46,784x = 7,966,276,516
5. Step 5: Solve for x
   x = 7,966,276,516/46,784
6. Step 6: Final answer
   x = 170,277.80