Finding the Third Proportional to 49,316 and 105,784

Step by Step Solution

1. Step 1: Write the proportion equation
   49,316 : 105,784 = 105,784 : x
2. Step 2: Convert to fraction form
   49,316/105,784 = 105,784/x
3. Step 3: Cross multiply
   49,316x = 105,784 × 105,784
4. Step 4: Simplify right side
   49,316x = 11,190,254,656
5. Step 5: Solve for x
   x = 11,190,254,656/49,316
6. Step 6: Final answer
   x = 226,909.21