Finding the Third Proportional to 83,231 and 183,428.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,231 : 183,428.50 = 183,428.50 : x
2. Step 2: Convert to fraction form
   83,231/183,428.50 = 183,428.50/x
3. Step 3: Cross multiply
   83,231x = 183,428.50 × 183,428.50
4. Step 4: Simplify right side
   83,231x = 33,646,014,612.25
5. Step 5: Solve for x
   x = 33,646,014,612.25/83,231
6. Step 6: Final answer
   x = 404,248.59