Finding the Third Proportional to 83,520 and 183,168

Step by Step Solution

1. Step 1: Write the proportion equation
   83,520 : 183,168 = 183,168 : x
2. Step 2: Convert to fraction form
   83,520/183,168 = 183,168/x
3. Step 3: Cross multiply
   83,520x = 183,168 × 183,168
4. Step 4: Simplify right side
   83,520x = 33,550,516,224
5. Step 5: Solve for x
   x = 33,550,516,224/83,520
6. Step 6: Final answer
   x = 401,706.37