Finding the Third Proportional to 83,010.50 and 183,464

Step by Step Solution

1. Step 1: Write the proportion equation
   83,010.50 : 183,464 = 183,464 : x
2. Step 2: Convert to fraction form
   83,010.50/183,464 = 183,464/x
3. Step 3: Cross multiply
   83,010.50x = 183,464 × 183,464
4. Step 4: Simplify right side
   83,010.50x = 33,659,039,296
5. Step 5: Solve for x
   x = 33,659,039,296/83,010.50
6. Step 6: Final answer
   x = 405,479.30