Finding the Third Proportional to 83,145.23 and 182,385.21

Step by Step Solution

1. Step 1: Write the proportion equation
   83,145.23 : 182,385.21 = 182,385.21 : x
2. Step 2: Convert to fraction form
   83,145.23/182,385.21 = 182,385.21/x
3. Step 3: Cross multiply
   83,145.23x = 182,385.21 × 182,385.21
4. Step 4: Simplify right side
   83,145.23x = 33,264,365,168.72
5. Step 5: Solve for x
   x = 33,264,365,168.72/83,145.23
6. Step 6: Final answer
   x = 400,075.43