Finding the Third Proportional to 83,142 and 183,784

Step by Step Solution

1. Step 1: Write the proportion equation
   83,142 : 183,784 = 183,784 : x
2. Step 2: Convert to fraction form
   83,142/183,784 = 183,784/x
3. Step 3: Cross multiply
   83,142x = 183,784 × 183,784
4. Step 4: Simplify right side
   83,142x = 33,776,558,656
5. Step 5: Solve for x
   x = 33,776,558,656/83,142
6. Step 6: Final answer
   x = 406,251.46