Finding the Third Proportional to 74,216 and 113,784

Step by Step Solution

1. Step 1: Write the proportion equation
   74,216 : 113,784 = 113,784 : x
2. Step 2: Convert to fraction form
   74,216/113,784 = 113,784/x
3. Step 3: Cross multiply
   74,216x = 113,784 × 113,784
4. Step 4: Simplify right side
   74,216x = 12,946,798,656
5. Step 5: Solve for x
   x = 12,946,798,656/74,216
6. Step 6: Final answer
   x = 174,447.54