Finding the Third Proportional to 83,677.50 and 183,885.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,677.50 : 183,885.50 = 183,885.50 : x
2. Step 2: Convert to fraction form
   83,677.50/183,885.50 = 183,885.50/x
3. Step 3: Cross multiply
   83,677.50x = 183,885.50 × 183,885.50
4. Step 4: Simplify right side
   83,677.50x = 33,813,877,110.25
5. Step 5: Solve for x
   x = 33,813,877,110.25/83,677.50
6. Step 6: Final answer
   x = 404,097.60