Finding the Third Proportional to 83,688.19 and 183,981.38

Step by Step Solution

1. Step 1: Write the proportion equation
   83,688.19 : 183,981.38 = 183,981.38 : x
2. Step 2: Convert to fraction form
   83,688.19/183,981.38 = 183,981.38/x
3. Step 3: Cross multiply
   83,688.19x = 183,981.38 × 183,981.38
4. Step 4: Simplify right side
   83,688.19x = 33,849,146,346.89
5. Step 5: Solve for x
   x = 33,849,146,346.89/83,688.19
6. Step 6: Final answer
   x = 404,467.43