Finding the Third Proportional to 83,669.63 and 183,924

Step by Step Solution

1. Step 1: Write the proportion equation
   83,669.63 : 183,924 = 183,924 : x
2. Step 2: Convert to fraction form
   83,669.63/183,924 = 183,924/x
3. Step 3: Cross multiply
   83,669.63x = 183,924 × 183,924
4. Step 4: Simplify right side
   83,669.63x = 33,828,037,776
5. Step 5: Solve for x
   x = 33,828,037,776/83,669.63
6. Step 6: Final answer
   x = 404,304.88