Finding the Third Proportional to 182,835 and 282,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,835 : 282,541.50 = 282,541.50 : x
2. Step 2: Convert to fraction form
   182,835/282,541.50 = 282,541.50/x
3. Step 3: Cross multiply
   182,835x = 282,541.50 × 282,541.50
4. Step 4: Simplify right side
   182,835x = 79,829,699,222.25
5. Step 5: Solve for x
   x = 79,829,699,222.25/182,835
6. Step 6: Final answer
   x = 436,621.54