Finding the Third Proportional to 83,017.50 and 183,478

Step by Step Solution

1. Step 1: Write the proportion equation
   83,017.50 : 183,478 = 183,478 : x
2. Step 2: Convert to fraction form
   83,017.50/183,478 = 183,478/x
3. Step 3: Cross multiply
   83,017.50x = 183,478 × 183,478
4. Step 4: Simplify right side
   83,017.50x = 33,664,176,484
5. Step 5: Solve for x
   x = 33,664,176,484/83,017.50
6. Step 6: Final answer
   x = 405,506.99