Finding the Third Proportional to 183,526 and 282,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   183,526 : 282,178.50 = 282,178.50 : x
2. Step 2: Convert to fraction form
   183,526/282,178.50 = 282,178.50/x
3. Step 3: Cross multiply
   183,526x = 282,178.50 × 282,178.50
4. Step 4: Simplify right side
   183,526x = 79,624,705,862.25
5. Step 5: Solve for x
   x = 79,624,705,862.25/183,526
6. Step 6: Final answer
   x = 433,860.63