Finding the Third Proportional to 88,144 and 193,784

Step by Step Solution

1. Step 1: Write the proportion equation
   88,144 : 193,784 = 193,784 : x
2. Step 2: Convert to fraction form
   88,144/193,784 = 193,784/x
3. Step 3: Cross multiply
   88,144x = 193,784 × 193,784
4. Step 4: Simplify right side
   88,144x = 37,552,238,656
5. Step 5: Solve for x
   x = 37,552,238,656/88,144
6. Step 6: Final answer
   x = 426,032.84