Finding the Third Proportional to 182,025 and 271,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,025 : 271,633.50 = 271,633.50 : x
2. Step 2: Convert to fraction form
   182,025/271,633.50 = 271,633.50/x
3. Step 3: Cross multiply
   182,025x = 271,633.50 × 271,633.50
4. Step 4: Simplify right side
   182,025x = 73,784,758,322.25
5. Step 5: Solve for x
   x = 73,784,758,322.25/182,025
6. Step 6: Final answer
   x = 405,355.08