Finding the Third Proportional to 83,368 and 185,168

Step by Step Solution

1. Step 1: Write the proportion equation
   83,368 : 185,168 = 185,168 : x
2. Step 2: Convert to fraction form
   83,368/185,168 = 185,168/x
3. Step 3: Cross multiply
   83,368x = 185,168 × 185,168
4. Step 4: Simplify right side
   83,368x = 34,287,188,224
5. Step 5: Solve for x
   x = 34,287,188,224/83,368
6. Step 6: Final answer
   x = 411,275.17